This paper deals with stochastically globally exponential stability for stochastic impulsive differential systems with discrete delays and infinite distributed delays. By using vector Lyapunov function and average dwell-time condition, we investigate the unstable impulsive dynamics and stable impulsive dynamics of the suggested system, and some novel stability criteria are obtained for SIDSs with DDs and IDDs. Moreover, our results allow the discrete delay term to be coupled with the nondelay term, and the infinite distributed delay term to (...) be coupled with the nondelay term. Finally, two examples are given to verify the effectiveness of our theories. (shrink)

We consider metabolic networks with reversible enzymatic reactions. The model is written as a system of ordinary differential equations, possibly with inputs and outputs. We prove the global stability of the equilibrium , using techniques of monotone systems and compartmental matrices. We show that the equilibrium does not always exist. Finally, we consider a metabolic system coupled with a genetic network, and we study the dependence of the metabolic equilibrium with respect to concentrations of enzymes. We (...) give some conclusions concerning the dynamical behavior of coupled genetic/metabolic systems. (shrink)

We consider a chain of metabolic reactions catalyzed by enzymes, of reversible Michaelis-Menten type with full dynamics, i.e. not reduced with any quasi-steady state approximations. We study the corresponding dynamical system and show its global stability if the equilibrium exists. If the system is open, the equilibrium may not exist. The main tool is monotone systems theory. Finally we study the implications of these results for the study of coupled genetic-metabolic systems.

The paper describes the main features of financial stability and the preparation of the reform of the global financial system. The mortgage crisis in the USA brought about the global financial crisis. This crisis was the result of the failure of financial regulation, including supervision, and the failure of the management of the banking industry. Therefore, the international community, including Group 20, urged the appropriate institutions to introduce a comprehensive reform of the financial sector. To avoid (...) a potential financial crisis, the creation of the framework for financial stability would be needed. In line with this, the paper examines the interaction between both monetary and fiscal policies, including micro-and macroprudential policies and their instruments. Although still is going on discussion on definition of macroprudential policy, there is a generally accepted opinion that macroprudential policy should limit systemic risk. In addition, this policy should focus on interaction between the financial system and the real economy. Furthermore, micro- andmacroprudential policy should use appropriate instruments in dealing with the systemic risk. In this regard, the article undescores that put in a place the frameworkfor financial stability will create favorable conditions for decision-makers how they should to respond to financial imbalances. The paper also pointed out some potential economic costs related to the implementation of the overall international reform of the financial sector. Based on comprehensive literature study, the author came to the conclusion that despite the fact that there will be some economic costs related to implementing the overall regulatory reform of the financial sector, the main benefit from the long-term perspective will be avoiding the potential financial crisis in the future. To fulfill all the requirements for global financial reform, international cooperation will be needed. (shrink)

This paper presents the problem of robust and nonfragile stabilization of nonlinear systems described by multivariable Hammerstein models. The objective is focused on the design of a nonfragile feedback controller such that the resulting closed-loop system is globally asymptotically stable with robust H ∞ disturbance attenuation in spite of controller gain variations. First, the parameters of linear and nonlinear blocks characterizing the multivariable Hammerstein model structure are separately estimated by using a subspace identification algorithm. Second, approximate inverse nonlinear functions (...) of polynomial form are proposed to deal with nonbijective invertible nonlinearities. Thereafter, the Takagi–Sugeno model representation is used to decompose the composition of the static nonlinearities and their approximate inverses in series with the linear subspace dynamic submodel into linear fuzzy parts. Besides, sufficient stability conditions for the robust and nonfragile controller synthesis based on quadratic Lyapunov function, H ∞ criterion, and linear matrix inequality approach are provided. Finally, a numerical example based on twin rotor multi-input multi-output system is considered to demonstrate the effectiveness. (shrink)

One of the leading explanations for Canadian banking stability through the global financial crisis of 2007–08 is the Concentration-Stability Hypothesis (CSH), according to which the oligopoly of Canadian finance stabilised the credit system by cushioning it with above-average profits. These provided a buffer against fragility and incentives against excessive risk-taking. In this article, I critically examine CSH and show that classical Marxian analysis more effectively illuminates Canadian banking stability. I demonstrate that robust corporate profitability and (...) capital accumulation before the crisis strengthened the balance sheets of the banks and supported them through those turbulent years. Thus, financial stability is linked explicitly to broader economic stability, and the latter is linked to the profitability of business enterprise. (shrink)

(2002). Conscious Evolution of Humanity: Using Systems Thinking to Construct Agoras of the Global Village. Announcing the 47th Annual Conference 2003 of the International Society for the Systems Sciences (ISS) www.isss.org. World Futures: Vol. 58, No. 4, pp. 335-338.

In this paper, we revisit a host–parasite system with multiple parasite strains and superinfection proposed by Nowak and May :81–89, 1994), and study its global dynamics when we relax the two strict conditions assumed therein. As for system with two parasite strains, we derive that the basic reproduction number $$R_0$$ is the threshold condition for parasite extinction and the invasion reproduction number $$R_i^j\ $$ is the subthreshold condition for coexistence of two parasite strains. As for system (...) with three parasite strains, we are surprised to discover the global stability of parasite-free and coexistence equilibrium, which is distinct from the previous result. Furthermore, for system with n strains, we obtain the global asymptotical stability of the parasite-free equilibrium, conjecture a general result on the global stability of coexistence equilibrium and provide two numerical examples to testify our conjecture. (shrink)

A decentralized adaptive control based on human linguistic is investigated to learn human behaviors for multiple robotic manipulators. Many experts’ words or sentences can be transferred into the control actions by employing membership functions in robot systems, which can be synthesized fuzzy controller by employing reasoning mechanism. For the unknown model dynamical robot manipulators, one adjustable parameter that relates to the approximation accuracy of fuzzy logic systems is introduced at first, which be utilized to deal with the unknown dynamics of (...) robot manipulators. Switching fuzzy adaptive controller is designed to overcome the limitation of logic structure that the number of adaptive laws only focus on fuzzy rules in conventional fuzzy logic systems. Another advantage of this design method is that the control with human linguistic extend the semi-global stability to global stability. Finally, effectiveness of the developed control design scheme has been shown in simulation example. (shrink)

The network model of EEG formation has revealed a unified mechanism for disparate EEG phenomena: for various reactions as well as for ontogenetic and phylogenetic differences. EEG rhythmicity was shown to be an external manifestation of the functioning of the intracortical stabilizing system which provides normal informational operations in the cerebral cortex.

In this paper, the stability and stabilization issues for a class of delayed neural networks with time-varying hybrid impulses are investigated. The hybrid effect of two types of impulses including both stabilizing and destabilizing impulses is considered simultaneously in the analysis of systems. To characterize the occurrence features of impulses, the concepts of average impulse interval and average impulse strength are employed. Based on the analysis of stability, a pinning impulsive controller which can ensure the global exponential (...) stability of the studied neural networks is designed by pinning a small fraction of neurons. Finally, two numerical examples are given to illustrate the effectiveness of the proposed control schemes for delayed neural networks with hybrid impulses. (shrink)

even if an equilibrium is asymptotically stable, that is no guarantee that the system will reach that equilibrium unless we know that the system's initial state is sufficiently close to the equilibrium. Global stability of an equilibrium, when we have it, gives the equilibrium a much more powerful explanatory role. An equilibrium is globally asymptotically stable if the dynamics carries every possible initial state in the interior of the state space to that equilibrium. If an equilibrium (...) is globally stable, it can have.. (shrink)

In this paper we build a prey–predator model with discrete weight structure for the predator. This model will conserve the number of individuals and the biomass and both growth and reproduction of the predator will depend on the food ingested. Moreover the model allows cannibalism which means that the predator can eat the prey but also other predators. We will focus on a simple version with two weight classes or stage and present some general mathematical results. In the last part, (...) we will assume that the dynamics of the prey is fast compared to the predator’s one to go further in the results and eventually conclude that under some conditions, cannibalism can stabilize the system: more precisely, an unstable equilibrium without cannibalism will become almost globally stable with some cannibalism. Some numerical simulations are done to illustrate this result. (shrink)

In this paper, the stability of switched neural networks with interval parameter uncertainties and time delays is investigated. First, the conditions for the existence and uniqueness of the equilibrium point of the system are discussed. Second, the average dwell time approach and M-matrix property are employed to obtain conditions to ensure the globally exponential stability of the delayed SNNs under constrained switching. Third, by resorting to inequality technique and the idea of vector Lyapunov function, sufficient condition to (...) ensure the robust exponential stability of the delayed SNNs under arbitrary switching is derived. The form of the constructed Lyapunov functions is simple, which has certain commonality in studying delayed SNNs, and the proposed results not only are explicit but also reveal the relationship between the constrained switching and the arbitrary switching of the SNNs. Finally, two numerical examples are presented to illustrate the effectiveness and less conservativeness of the main results compared with the existing literature. (shrink)

This is the third, penultimate volume in the Toward a Theoretical Biology series. The contributors agree that there is a major problem in finding methods of dealing with the great complexity of biological systems. Molecular biology has given us considerable insight into the nature of the elementary units and processes of life, but to understand how these are put together to form systems that are usually too complicated to be analyzed completely, but exhibit global properties of simplicity, presents biologists (...) with an intellectual challenge that physical sciences and chemistry must also face. The problem is approached from several different angles: quantum physics, topology, and statistical mechanics. A stimulating discussion is recorded: that the behavior of randomly constructed networks exhibits simplicity. Thoughtful analyses of complexities in such basic biological processes as the genetic control of differentiation, evolution, and ecology is also included. Some of the questions dealt with are: What kinds of theories should we wish to have in connection with developmental biology? And have we got them? The subject matter of Organization Stability and Process is defined as the basic concept of biology. None of the contributors herein contained is a molecular biologist in the modern sense, but molecular biology casts a shadow over this work, at least in so far as they challenge its interpretative aggressiveness and its enthusiastic but unendearing self-confidence and self-sufficiency. This volume inaugurates a new and authentic style of scientific literature. The contributions are thoughtful, imaginative, illuminating, and exceptionally well written. (shrink)

In this paper, a discrete-time dynamic duopoly model, with nonlinear demand and cost functions, is established. The properties of existence and local stability of equilibrium points have been verified and analyzed. The stability conditions are also given with the help of the Jury criterion. With changing of the values of parameters, the system shows some new and interesting phenomena in terms to stability and multistability, such as V-shaped stable structures and different shape basins of attraction of (...) coexisting attractors. The eye-shaped structures appear where the period-doubling and period-halving bifurcations occur. Finally, by utilizing critical curves, the changes in the topological structure of basin of attraction and the reason of “holes” formation are analyzed. As a result, the generation of global bifurcation, such as contact bifurcation or final bifurcation, is usually accompanied by the contact of critical curves and boundary. (shrink)

The currently leading cognitive theory of consciousness, Global Workspace Theory,1,2 postulates that the primary functions of consciousness include a global broadcast serving to recruit internal resources with which to deal with the current situation and to modulate several types of learning. In addition, conscious experiences present current conditions and problems to a "self" system, an executive interpreter that is identifiable with brain structures like the frontal lobes and precuneus.1Be it human, animal or artificial, an autonomous agent3 is (...) said to be functionally conscious if its control structure (mind) implements Global Workspace Theory and the LIDA Cognitive Cycle, which includes unconscious memory and control functions needed to integrate the conscious component of the system. We would therefore consider humans, many animals4 and even some virtual or robotic agents5,6 to be functionally conscious. Such entities may approach phenomenal consciousness, as found in human and other biological brains, as additional brain-like features are added.Here we argue that adding mechanisms to produce a stable, coherent perceptual field7 in a LIDA controlled mobile robot might provide a small but significant step toward phenomenal consciousness in machines.>8 We also propose that implementing several of the various notions of self in such a LIDA controlled robot may well prove another step toward phenomenal consciousness in machines. (shrink)

In this study, the authors utilize mountain pass lemma, variational methods, regularization technique, and the Lyapunov function method to derive the unique existence of the positive classical stationary solution of a single-species ecosystem. Particularly, the geometric characteristic of saddle point in the mountain pass lemma guarantees that the equilibrium point is the ground state stationary solution of the ecosystem. Based on the obtained uniqueness result, the authors use the Lyapunov function method to derive the globally exponential stability criterion, which (...) illuminates that under some suitable conditions, a certain internal competition is conducive to the global stability of the population, and a certain amount of family planning is conducive to the overall stability of the population. Most notably, the regularity technique of weak stationary solution employed in this study can also be applied to some existing literature related with time-delays reaction-diffusion systems for the purpose of regularization of weak solutions. Finally, an illuminative numerical example shows the effectiveness of the proposed methods. (shrink)

‘Complexity theory’ seems to provide some metaphors, concepts and theories essential for examining the intractable disorderliness of the contemporary world. Relations across that world are complex, rich and non-linear, involving multiple negative and, more significantly, positive feedback loops. This article shows how globalization should be conceptualized as a series of adapting and co-evolving global systems, each characterized by unpredictability, irreversibility and co-evolution. Such systems lack finalized ‘equilibrium’ or ‘order’; and the many pools of order heighten overall disorder. They do (...) not exhibit and sustain unchanging structural stability. Complexity elaborates how there is order and disorder within these various global systems. The global order is a complex world, unpredictable and irreversible, disorderly but not anarchic. (shrink)

The article reveals the approaches to the essence of man by one of the founders of Russian cosmism K.E. Tsiolkovsky and V.I. Vernadsky. the teaching of which is attributed to the natural-scientific direction of Russian cosmism, during the emergence of the vector of technical and technological development of mankind. The idea of a holistic, harmonious approach to the material and spiritual world of man united the philosophical worldview of K.E. Tsiolkovsky and V.I. Vernadsky, who viewed man and the surrounding world (...) in unity from an objective standpoint, and the mind was the source of man's conquest of the Universe. The approaches of K.E. Tsiolkovsky and V.I. Vernadsky have much in common and are characterized by the scale of views on man as a global and cosmic being. At the same time, two great cosmologists approached their conclusions from different research positions. Each of them has his own way of philosophical view of a person and the world around him. The article provides a comparative analysis of the teachings of K.E. Tsiolkovsky and V.I. Vernadsky, analyzes the general and different. The relevance of the topic is determined by the modern problems of the biosphere, which as a global system has already lost its stability under human influence. A more in-depth study of the philosophy of K.E. Tsiolkovsky and V.I. Vernadsky allows us to trace the relationship of their peculiar ideas with global approaches to the microcosm of man, understanding the transcendental and spiritual foundations of the philosophy of cosmism. (shrink)

One of the several reasons given in calls for the prohibition of autonomous weapons systems (AWS) is that they are against human dignity (Asaro, 2012; Docherty, 2014; Heyns, 2017; Ulgen, 2016). However there have been criticisms of the reliance on human dignity in arguments against AWS (Birnbacher, 2016; Pop, 2018; Saxton, 2016). This paper critically examines the relationship between human dignity and autonomous weapons systems. Three main types of objection to AWS are identified; (i) arguments based on technology and the (...) ability of AWS to conform to International Humanitarian Law; (ii) deontological arguments based on the need for human judgement and meaningful human control, including arguments based on human dignity; (iii) consequentialist reasons about their effects on global stability and the likelihood of going to war. An account is provided of the claims made about human dignity and AWS, of the criticisms of these claims, and of the several meanings of ‘dignity’. It is concluded that although there are several ways in which AWS can be said to be against human dignity, they are not unique in this respect. There are other weapons, and other technologies, that also compromise human dignity. Given this, and the ambiguities inherent in the concept, it is wiser to draw on several types of objections in arguments against AWS, and not to rely exclusively on human dignity. (shrink)

The currently leading cognitive theory of consciousness, Global Workspace Theory,1,2 postulates that the primary functions of consciousness include a global broadcast serving to recruit internal resources with which to deal with the current situation and to modulate several types of learning. In addition, conscious experiences present current conditions and problems to a "self" system, an executive interpreter that is identifiable with brain structures like the frontal lobes and precuneus.1Be it human, animal or artificial, an autonomous agent3 is (...) said to be functionally conscious if its control structure (mind) implements Global Workspace Theory and the LIDA Cognitive Cycle, which includes unconscious memory and control functions needed to integrate the conscious component of the system. We would therefore consider humans, many animals4 and even some virtual or robotic agents5,6 to be functionally conscious. Such entities may approach phenomenal consciousness, as found in human and other biological brains, as additional brain-like features are added.Here we argue that adding mechanisms to produce a stable, coherent perceptual field7 in a LIDA controlled mobile robot might provide a small but significant step toward phenomenal consciousness in machines.>8 We also propose that implementing several of the various notions of self in such a LIDA controlled robot may well prove another step toward phenomenal consciousness in machines. (shrink)

This paper presents an adaptive fuzzy sliding-mode controller for multiple Euler–Lagrange systems communicated with directed topology. Based on the graph theory and Lyapunov–Krasovskii functions, a delay-dependent sufficient condition for the existence of sliding surfaces is given in terms of linear matrix inequalities. The asymptotic stability is analyzed by using the Lyapunov method in the presence of unknown parametric dynamics, actuator faults, and time-varying delays. The usage of adaptive techniques is to adapt the unknown parameters so that the objective of (...) globally asymptotic stability is achieved. Finally, simulation results are provided to illustrate the effectiveness of the proposed control scheme. (shrink)

The integration of cellular networks and vehicular networks is complex and heterogeneous. Synchronization among vehicles in heterogeneous vehicular clusters plays an important role in effective data sharing and the stability of the cluster. This synchronization depends on the smooth exchange of information between vehicles and remote servers over the Internet. The remote servers predict road traffic patterns by adopting deep learning methods to help drivers on the roads. At the same time, local data processing at the vehicular cluster level (...) may increase the capabilities of remote servers. However, global positioning system signal interruption, especially in the urban environment, plays a big part in the detritions of synchronization among the vehicles that lead to the instability of the cluster. Instability of connections is a major hurdle in developing cost-effective solutions for deriving assistance and route planning applications. To solve this problem, a self-localization scheme within the vehicular cluster is proposed. The proposed self-localization scheme handles GPS signal interruption to the vehicle within the cluster. A unique clustering criterion and a synchronization mechanism for sharing traffic information system data among multiple vehicles are developed. The developed scheme is simulated and compared with existing known approaches. The results show the better performance of our proposed scheme over others. (shrink)

This essay examines the contemporary approaches to systems theory, the strengths and limitations of these approaches, and how communication researchers can apply them creatively. It points out that using system approaches requires communication scholars to study the mutual interaction of both information inputs and matter/energy inputs. Overloads of these inputs coupled with storage problems could engender positive feedback loops and move the system away from the linear region of stability toward the edge of chaos. It could then (...) self-organize as a more complex system in a new phase space of its trajectory. This complexity approach could be used to trace the trajectory of the global mass communication system or to conduct empirical research on all or any of the information-processing subsystems within the eight hierarchical levels of nested systems ranging from cell to supranational systems. Although systems thinking is writ large in the onto-cosmology of Eastern philosophies, its epistemological and methodological refinements did not occur until quantum physics challenged the ‘atomism’ of the dominant Newtonian-Cartesian model. (shrink)

The global refugee crisis has posed severe challenges to social stability and sustainable development around the world. While the business sector is expected to shoulder social responsibility in crisis relief efforts, our initial assessment shows that refugee‐related corporate social responsibility (CSR) significantly diverged across the Global Fortune 500 corporations. To advance scholars and managers' understanding of this complex CSR issue, this study draws upon National Business System Theory to explore how country‐level factors influence the multinational corporations' (...) CSR communication about the refugee issue. Specifically, the study focuses on the strategic cross‐sector alliances between corporations, NGOs, and IGOs. The analysis shows that in this controversial global crisis, the following factors of corporations' countries‐of‐origin can significantly affect the level of cross‐sector CSR alliances: democracy levels, economic inequality levels, and unemployment rates. Findings of this study provide practical guidelines that can help managers to anticipate societal expectations when dealing with controversial social issues in an international setting. Our findings could also assist policymakers, NGOs, and IGOs to better design strategies to mobilize the corporate resources. (shrink)

Democratic Crisis and Global Constitutional Law explains the current weakness of democratic polities by examining antinomies in constitutional democracy and its theoretical foundations. This book argues that democracy is usually analysed in a theoretical lens that is not adequately sensitive to its historical origins. The author proposes a new sociological framework for understanding democracy and its constitutional preconditions, stressing the linkage between classical patterns of democratic citizenship and military processes and arguing that democratic stability at the national level (...) relies on the formation of robust normative systems at the international level. On this basis, he argues that democracy is frequently exposed to crisis because the normative terms in which it is promoted and justified tend to simplify its nature. These terms create a legitimising space in which anti-democratic movements, typically with a populist emphasis, can take shape and flourish. (shrink)

Nick Dyer-Witheford and Greig de Peuter. Games of Empire: Global Capitalism and Video Games . Minneapolis: University of Minnesota Press. 2009. 320pp. pbk. $19.95 ISBN-13: 978-0816666119. In Games of Empire , Nick Dyer-Witheford and Greig de Peuter expand an earlier study of “the video game industry as an aspect of an emerging postindustrial, post-Fordist capitalism” (xxix) to argue that videogames are “exemplary media of Empire” (xxix). Their notion of “Empire” is based on Michael Hardt and Antonio Negri’s Empire (2000), (...) which characterizes the contemporary world order as a decentralized system of global economic, political, and economic power that transcends national boundaries. In the view of the authors, Hardt and Negri’s account sets itself apart from other analyses of international politics by offering a “comprehensive account of conditions of work, forms of subjectivity, and types of struggle in contemporary capital” (xx). Dyer-Witheford and de Peuter thus divide Games of Empire into three sections to reflect each of these aspects of Empire ’s argument, seeing their work as the first account to explore “virtual games within a system of global ownership, privatized property, coercive class relations, military operations, and radical struggle” (xxix). Books in the University of Minnesota Press’s Electronic Mediations series “explore the humanistic and social implications” of new technologies that spark “significant changes in society and culture, politics and economics, thinking and being.” That’s an abstract goal, and one that Games of Empire surely meets. Yet at times it can be difficult to understand exactly which specific intervention this book seeks to make. It is unclear whether the authors of Games of Empire see their work as an indictment of game scholars’ lack of attention to political economy, or whether it’s a work of political theory hoping to show that other disciplines should be paying more attention to the production and play of videogames. Because Dyer-Witheford and de Peuter don’t directly criticize previous political critiques of gaming—such as Edward Castronova’s exploration of the “porous membrane” allowing two-way traffic between virtual economies and those of the real world, or Alexander Galloway’s unraveling of control protocols in algorithmic design, or Ian Bogost’s idea of political procedural rhetoric—they sometimes leave the reader wondering how to situate the book in the broader discourse on games and politics, either separately or together. Thus, Games of Empire might best be seen as an introduction to the writings of Hardt and Negri for game players and designers, rather than as a text for communicating the basic concepts of game studies and design. It is neither a truly new theory of games or digital media, nor is it a new theory of Empire—and that’s not a criticism. It is instead an introduction to Empire through popular culture, as Zizek does for Lacan in Looking Awry . If one were teaching an introductory course on contemporary political theory, this book would offer obvious inroads into Negri and Hardt’s thinking for a number of reasons. Despite its radical ideological bent, the book isn’t off-putting to readers who don’t necessarily share the authors’ politics. It synthesizes complex ideas from difficult thinkers like Marx, Foucault, and Guattari while integrating modifications and critiques of Empire theory itself. And although the book is dense, sometimes feeling longer than it actually is (just over 200 pages), Games of Empire maintains a breezy readability by tightly coupling core concepts of Empire theory to well-known games and widely-publicized conflicts within the videogame industry. The first section of the book focuses on immaterial labor, the accumulation of “cognitive capital,” and the global process of manufacturing videogame consoles. It is significant for the authors that videogames began as hacker experiments within research institutes of the military industrial complex, programmed on stolen time, before becoming a commodity (7). This is the first in a string of examples showing how creative dissidence and conflict fuel the continuing evolution of Empire’s control. Dyer-Witheford and de Peuter explain that the videogame industry now constitutes an international production apparatus dominating both creative work in developed nations and manual labor in developing ones. Because game industries in the United States, Western Europe, and Japan are predominately non-unionized, they serve as an exemplary system for analyzing how global capital exploits contemporary intellectual work—including an excellent analysis of the “EA Spouse” scandal of 2004. On the side of the consumer, the authors argue that rabid “console races” that drive the industry forward from a technological perspective serve to structure gamer identity and combat piracy; later in the book, these machines offer a window into the worlds of Congolese coltan mining and electronic waste (222-224). In the second section, Dyer-Witheford and de Peuter move on to deep case studies of individual games to show how the most popular game genres embed imperial assumptions about conflict, exchange, and urban life. First they argue that military training games such as Full Spectrum Warrior —co-developed by university researchers, industry developers, and military contractors—contribute to the “banalization” of war, a subjective state wherein perpetual preparedness for war is accepted as a part of everyday life (100). Chapter five covers Michel Foucalt’s notion of “biopower,” the extension of capital accumulation to life itself. The authors argue that virtual worlds such as World of Warcraft , which take market capitalism as a given and force players into essentialist roles and racial antagonisms, are organized to maximize control and profit (often on the backs of virtual currency “farmers” in China and southeast Asia). Finally, they criticize the naïve assumption that humor and cynicism in the popular sandbox game franchise Grand Theft Auto offer any remedy to its racialized, violent content. Instead, such games indulge and normalize the fantasy of getting rich at any cost by keeping the realities of contemporary urban life and corporate greed at a safe distance (181). Part three of Games of Empire focuses on “games of multitude,” a preliminary attempt to escape from Empire’s order through alternate modes of videogame development and play. Multitude is defined dialectically, as “the engine and the enemy” of Empire (187). This is the most important, yet also most contradictory section of the text. It lays bare the process by which Empire and its media feed our creative and intellectual development to overabundance. At a certain point, the force of the multitude reaches such a level that it threatens the stability of Empire; however, instead of following Hardt and Negri’s utopian assumptions about the radical potential of the multitude, the authors here follow Paolo Virno’s warning that Empire is “very good at adopting apparently iconoclastic practices and utopian ideas as management techniques and revenue sources” (188). At every turn, advances in player configurative power provide new sources of revenue and advertising angles for the game industry. A disappointing shortcoming of these latter pages is the lack of truly new examples for radical resistance within game development. Instead, it turns out that the radical left seems satisfied with the same mild successes that the left-of-center also has celebrated: artist’s mods, virtual world activism, and critical counterplay within strategy- and wargames. Having been frequently cited by many authors before Dyer-Witheford and de Peuter, this idea of subversion or resistance through play feels tired and unpersuasive. It is unclear if the authors believe it is possible to embrace game design itself as a way of pursuing what they call “exodus” from Empire, or if an all-too-fashionable subversion is the only workable strategy. While the book does explore how the earliest independent game studios were eventually subverted and incorporated into the game industry proper, it doesn’t affirm or critique more recent non-commercial, DIY game development projects such as Klik-of-the-Month Club and Ludum Dare. Dyer-Witheford and de Peuter’s analysis of so-called “tactical games,” including the editorial works of La Molleindustria, leads to an even more ambivalent take on the contemporary design ecology. At the conclusion of his essay on “Countergaming,” Galloway asserts that avant-garde videogame artists “should create new grammars of action […] should create alternative algorithms” (Galloway 125). Yet Dyer-Witheford and de Peuter characterize works such as McDonald’s Video Game and Oiligarchy as didactic, suggesting that the role of radical political games might be “limited to that of agitprop” (199). They are concerned that games like those of Molleindustria rigidly structure the activities of their players in order to prove a point. Yet, despite their repeated assertion that the equation of greater interactivity with democratic digital liberation is flawed, the authors see potential in policy simulators that “allow players to edit or tweak” (202) their parameters in response to what Bogost has called simulation fever , the simultaneous drive toward and fear of simulation (Bogost 108). The possibility of practicing radical design is bucked, and early attempts at critical game development like those of Molleindustria’s seem to be relegated to the status of exceptions that prove the rule for player-centered exodus. Overall, there is one glaring question Games of Empire leaves unanswered: how exactly are videogames the “exemplary media” of Empire, and what are the implications of videogames being exemplary in this way? Presumably Dyer-Witheford and de Peuter want to avoid essentialist claims, so they’re not keen on following Wark’s desire to mark “the game’s difference from [legacy media] as something that speaks to changes in the overall structure of social and technical relations” (Wark 225). It is also unclear how the production apparatuses, labor standards, and subjectivizing processes involved in the creation and use of other any other kind of digital media would fail to justify their equally exemplary status. Even the book’s concluding paragraph holds that virtual games “are one molecular component of this undecidable collective mutation” (Dyer-Witheford and de Peuter 229) of intellect, labor, and daily life. In the end, the authors seem to back away from their focus on games as exemplary to bring their work in line with broader theories of the gradual digitization of the everyday, in line with Galloway and Manovich. Despite these flaws, there is an undeniable elegance to Games of Empire ’s contrasting of gaming’s overwhelmingly imperial content with its multitudinous form . And its ambivalence about the potential of independent or political game development might be seen by scholars of Empire as a strength rather than a weakness, an acceptance that every new expression of multitude offers another opportunity for the expansion of Empire. The book also functions as a strong, all-encompassing call to greater responsibility on the part of mainstream game developers to be more conscious of the ideologies they embed in their work, of the way their intellectual property is used and manipulated by those who employ them, and of the material impact their industry has on the world at large. For players it offers a toolbox of concepts for radical examinations of their own play activities, asking them to be more cognizant of the consequences of their consumption of digital media and the ways in which their virtual lives interface with the real. REFERENCES Bogost, Ian. Unit Operations: An Approach to Videogame Criticism . Cambridge, Mass.: MIT Press, 2006. Castranova, Edward. Synthetic Worlds: The Business and Culture of Online Games . Chicago, Illinois: University of Chicago Press, 2006. Dyer-Witheford, Nick and de Peuter, Greig. Games of Empire: Global Capitalism and Video Games . Minneapolis, Minnesota: University of Minnesota Press, 2009. Galloway, Alexander. Gaming: Essays on Algorithmic Culture . Minneapolis, Minnesota: University of Minnesota Press, 2006). Wark, McKenzie. Gamer Theory . Cambridge, Mass.: Harvard University Press, 2007. (shrink)

Of all global problems world population growth is the most significant. The growth of the number of people expresses the sum outcome of all economic, social and cultural activities that comprise human history. Demographic data in a concise and quantitative way describe this process in the past and present. By applying the concepts of nonlinear dynamics and synergetics, it is possible to work out a mathematical model for a phenomenological description of the global demographic process and project its (...) trends into the future. Assuming self-similarity as the dynamic principle of development, growth can be described over practically the whole of human history, with a growth rate proportional to the square of the number of people. This is due to a collective interaction, responsible for the growth of human numbers, as the result of the informational nature of development. The large parameter of the theory and the effective size of a coherent population group is of the order of 105. As the microscopic parameter of the phenomenology, the human life span is introduced into the theory. Estimates of the beginning of human development 4-5 million years ago and of the total number of people who have ever lived since then ≈ 100 billion are made. In the framework of the model, large scale cycles defined by history and anthropology are shown to follow an exponential pattern of growth, culminating in the demographic transition, a veritable revolution when population growth is to stabilize at 10 to 12 billion. (shrink)

Efforts to bridge emotion theory with neurobiology can be facilitated by dynamic systems (DS) modeling. DS principles stipulate higher-order wholes emerging from lower-order constituents through bidirectional causal processes cognition relations. I then present a psychological model based on this reconceptualization, identifying trigger, self-amplification, and self-stabilization phases of emotion-appraisal states, leading to consolidating traits. The article goes on to describe neural structures and functions involved in appraisal and emotion, as well as DS mechanisms of integration by which they interact. These mechanisms (...) include nested feedback interactions, global effects of neuromodulation, vertical integration, action-monitoring, and synaptic plasticity, and they are modeled in terms of both functional integration and temporal synchronization. I end by elaborating the psychological model of emotion–appraisal states with reference to neural processes. (shrink)

Let us start by some general definitions of the concept of complexity. We take a complex system to be one composed by a large number of parts, and whose properties are not fully explained by an understanding of its components parts. Studies of complex systems recognized the importance of “wholeness”, defined as problems of organization (and of regulation), phenomena non resolvable into local events, dynamics interactions in the difference of behaviour of parts when isolated or in higher configuration, etc., (...) in short, systems of various orders (or levels) not understandable by investigation of their respective parts in isolation. In a complex system it is essential to distinguish between ‘global’ and ‘local’ properties. Theoretical physicists in the last two decades have discovered that the collective behaviour of a macro-system, i.e. a system composed of many objects, does not change qualitatively when the behaviour of single components are modified slightly. Conversely, it has been also found that the behaviour of single components does change when the overall behaviour of the system is modified. There are many universal classes which describe the collective behaviour of the system, and each class has its own characteristics; the universal classes do not change when we perturb the system. The most interesting and rewarding work consists in finding these universal classes and in spelling out their properties. This conception has been followed in studies done in the last twenty years on second order phase transitions. The objective, which has been mostly achieved, was to classify all possible types of phase transitions in different universality classes and to compute the parameters that control the behaviour of the system near the transition (or critical or bifurcation) point as a function of the universality class. This point of view is not very different from the one expressed by Thom in the introduction of Structural Stability and Morphogenesis (1975). It differs from Thom’s program because there is no a priori idea of the mathematical framework which should be used. Indeed Thom considers only a restricted class of models (ordinary differential equations in low dimensional spaces) while we do not have any prejudice regarding which models should be accepted. One of the most interesting and surprising results obtained by studying complex systems is the possibility of classifying the configurations of the system taxonomically. It is well-known that a well founded taxonomy is possible only if the objects we want to classify have some unique properties, i.e. species may be introduced in an objective way only if it is impossible to go continuously from one specie to another; in a more mathematical language, we say that objects must have the property of ultrametricity. More precisely, it was discovered that there are conditions under which a class of complex systems may only exist in configurations that have the ultrametricity property and consequently they can be classified in a hierarchical way. Indeed, it has been found that only this ultrametricity property is shared by the near-optimal solutions of many optimization problems of complex functions, i.e. corrugated landscapes in Kauffman’s language. These results are derived from the study of spin glass model, but they have wider implications. It is possible that the kind of structures that arise in these cases is present in many other apparently unrelated problems. Before to go on with our considerations, we have to pick in mind two main complementary ideas about complexity. (i) According to the prevalent and usual point of view, the essence of complex systems lies in the emergence of complex structures from the non-linear interaction of many simple elements that obey simple rules. Typically, these rules consist of 0–1 alternatives selected in response to the input received, as in many prototypes like cellular automata, Boolean networks, spin systems, etc. Quite intricate patterns and structures can occur in such systems. However, what can be also said is that these are toy systems, and the systems occurring in reality rather consist of elements that individually are quite complex themselves. (ii) So, this bring a new aspect that seems essential and indispensable to the emergence and functioning of complex systems, namely the coordination of individual agents or elements that themselves are complex at their own scale of operation. This coordination dramatically reduces the degree of freedom of those participating agents. Even the constituents of molecules, i.e. the atoms, are rather complicated conglomerations of subatomic particles, perhaps ultimately excitations of patterns of superstrings. Genes, the elementary biochemical coding units, are very complex macromolecular strings, as are the metabolic units, the proteins. Neurons, the basic elements of cognitive networks, themselves are cells. In those mentioned and in other complex systems, it is an important feature that the potential complexity of the behaviour of the individual agents gets dramatically simplified through the global interactions within the system. The individual degrees of freedom are drastically reduced, or, in a more formal terminology, the factual space of the system is much smaller than the product of the state space of the individual elements. That is one key aspect. The other one is that on this basis, that is utilizing the coordination between the activities of its members, the system then becomes able to develop and express a coherent structure at a higher level, that is, an emergent behaviour (and emergent properties) that transcends what each element is individually capable of. (shrink)

The article presents a verbal and mathematical model of medium-term business cycles (with a characteristic period of 7–11 years) known as Juglar cycles. The model takes into account a number of approaches to the analysis of such cycles; in the meantime it also takes into account some of the authors' own generalizations and additions that are important for understanding the internal logic of the cycle, its variability and its peculiarities in the present-time conditions. The authors argue that the most important (...) cause of cyclical crises stems from strong structural disproportions that develop during economic booms. These are not only disproportions between different economic sectors, but also disproportions between different societal subsystems; at present these are also disproportions within the World System as a whole. The proposed model of business cycle is based on its subdivision into four phases: – recovery phase (which could be subdivided into the start sub-phase and the acceleration sub-phase); – upswing/prosperity/expansion phase (which could be subdivided into the growth sub-phase and the boom/overheating sub-phase); – recession phase (within which one may single out the crash/bust/acute crisis subphase and the downswing sub-phase); – depression/stagnation phase (which we could subdivide into the stabilization subphase and the breakthrough sub-phase). The article provides a detailed qualitative description of macroeconomic dynamics at all the phases; it specifies driving forces of cyclical dynamics and the causes of transition from one phase to another (including psychological causes); a special attention is paid to the turning point from the peak of overheating to the acute crisis, as well as to the turning point from the downswing to recovery. The proposed mathematical model of Juglar cycle takes into account the following effects that are typical for the market economy: • positive feedbacks between various economic processes; • presence of a certain inertia, time lags in reactions of the economic subsystem to the change in conditions; • amplification by the financial subsystem of positive feedbacks and time lags in the economic subsystem; • excessive reaction to changing conditions during the acute crisis sub-phase. The authors suggest that the current crisis turns out to be rather similar to classical Juglar crises; however, there is also a significant difference, as the current crisis occurs at a truly global scale. Yet, due to this truly global scale of the current crisis, the possibilities of regulation with the national state's measures have turned out to be ineffective,whereas the suprastate regulation of financial processes hardly exists. It is shown that all these have led to the reproduction of the current crisis according to a classical Juglar scenario. (shrink)

In this paper, we investigate the ultimate bound set and positively invariant set of a 3D Lorenz-like chaotic system, which is different from the well-known Lorenz system, Rössler system, Chen system, Lü system, and even Lorenz system family. Furthermore, we investigate the global exponential attractive set of this system via the Lyapunov function method. The rate of the trajectories going from the exterior of the globally exponential attractive set to the interior of (...) the globally exponential attractive set is also obtained for all the positive parameters values a,b,c. The innovation of this paper is that our approach to construct the ultimate bounded and globally exponential attractivity sets assumes that the corresponding sets depend on some artificial parameters ; that is, for the fixed parameters of the system, we have a series of sets depending on λ and m. The results contain the known result as a special case for the fixed λ and m. The efficiency of the scheme is shown numerically. The theoretical results may find wide applications in chaos control and chaos synchronization. (shrink)

This paper takes up Peter Sloterdijk’s proposition for a new thinking of the world as global foam. After quickly reminding the reader of the main characteristics of “bubbles” as “immune spheres of existence”, I retrace the three phases of the history globalization as they have been developed by Sloterdijk in the Spheres trilogy. I then focus on the third phase, also called Global Age, and try to bring together the two seemingly opposed concepts Sloterdijk has used to discuss (...) the age of globality: “worldly interior” and “foams” by arguing that the former represents our world in its globality while the latter represents it in its irreducible plurality. The result is a system of co-fragility and co-isolation: a compact proximity between fragile entities and the necessary closure of each cell unto itself. If this is the case, the question we need to ask concerns the space left opened in the worldly interior for a ‘world-forming’ praxis. In the end politics can only consist in “managing” the worldly interior, stabilizing it and regulating its exchange with an outside. Without overview, without initiative, it is not clear in what ways politics can still be a trans-forming praxis and is not a mere function of the system. (shrink)

Two hypotheses concerning nonlinear elements in complex systems are contrasted: that neurons, intrinsically unstable, are stabilized through embedding in networks and populations; and, conversely, that cortical neurons are intrinsically stable, but are destabilized through embedding in cortical populations and corticostriatal feedback systems. Tests are made by piecewise linearization of nonlinear dynamics at nonequilibriumoperating points, followed by linear stability analysis.

The aim of the article. The aim of the article is to identify the components of social and economic systems life cycle. To achieve this aim, the article describes the traits and characteristics of the system, determines the features of social and economic systems functioning and is applied a systematic approach in the study of their life cycle. The results of the analysis. It is determined that the development of social and economic systems has signs of cyclicity and is (...) explained methodologically by the axiomatics, rules and laws. Understanding of circular patterns has been formed long ago and now is recorded by scientists monitoring the properties of natural and artificial environment of human activity. During the study, it was found out that in scientific literature there is no unified description of the life cycle elements of social and economic systems at personal, micro, meso, macro and global levels. The paper investigates the cyclical patterns in multilevel social and economic systems for a human, employee, family, product, company, city, industry, elite, macroeconomic indicators, humanity, global processes, global economic system and the Universe. It is noted that at grass-roots administrative levels of the global environment of a human life activity system, a thesis about the cyclicity of development and the stages of the life cycle is considered by a wide circle of scientists and is doubtless. On hierarchically higher management levels of the global environment of human activity system, the scientists noticed the similar patterns of the cyclical nature. Problematic and discussion questions about cyclic development of social and economic systems are identified: the uncertainty of the driving force source of repeated changes; the vague distinction between systemic (internal) and off-system (external) influence on development; the lack of a unified description of development nature at different managerial levels; the use of different descriptive terms for the same constituent elements of repeated changes (period, stage, phase, wave, cycle); the uncertainty of the number of repeated changes constituent elements; the absence of an identification mechanism of the exact time of changes in the constituent elements of repeated changes; the surface description of out-of-system period of the subjects activity («before-system» period of creation and «after-system» period of liquidation); attaching more importance to primary and less importance to ultimate component elements of the repeated changes; the lack of reliable mechanism for predicting and forecasting the dynamics of constituent components of repeated changes. It is noted that all social and economic systems are developed within repeated changes and they have the same attributes of cyclicity: the fluctuation of indicators is marked that characterize the condition of the subject; the presence of system (from creation to liquidation) and out-of-system (creation – «design» and liquidation – «disposal») periods are noted; the subjects are created by the actions of other subjects (that is, subjects do not arise «out of nowhere», but are the result of actions of other subjects – «constructors»); after cessation of subjects functioning, their resources are used by other subjects (that is, the subjects do not disappear «nowhere», and they are transformed into the resources of other subjects – «recovery»); a unidirectional life cycle from «birth» to «death» is observed in the subjects; the subjects do not have to undergo the whole life cycle (each time might be the last); the subjects display similar changes of the indicators during their activity; ascending, peak and descending fluctuations of indicators are observed in the subjects; minor fluctuations occur in the constituent elements; the subjects have individual nature of indicator fluctuations and duration of activity. Conclusions and directions of further researches. The scientific novelty of the study is identification structure of life cycle of social and economic system with definitions of: common («before-system state», «growth», «stabilization», «reduction», «after-system state») and specific («creation», «slow growth», «rapid growth», «growth stabilization», «short stabilization», «rapid reduction», «slow reduction», «liquidation») constituent elements of repeated changes; marginal borders of indicators; dynamics of constituent elements of life cycle; key points of changing nature of the indicators dynamics. Identification of the life cycle of social and economic systems characterizes potentially possible limits of their activity in time and provides the possibility of further research of aspects of the cyclical development for methodological basis formation and the development of applied measures of systemic development in the areas of marketing and management innovations. (shrink)

In the article the effect of disbalances in the movement of financial resources on the national financial systems is formalized. For ensuring the corresponding monitoring objectives the financial sustainability indicators developed by the IMF and the World Bank have been used, as well as the integral indicator of financial resource disbalances, which serve as statistical units for measuring the financial situation and sustainability of the financial sector of the country. For the overwhelming majority of the studied countries, the hypothesis about (...) the negative impact of disbalances in the flow of financial resources on the stability of their financial sectors, regardless of the general economic conditions of these countries' development, was confirmed. At the same time, such a hypothesis was denied for a group of developing countries. Conditions-destabilizers of financial sectors’ stability of the countries under the influence of financialization of their economies, which should be considered the object of regulatory measures in financial markets, are defined. These include the level of market integration into the global financial space, which determines the tendency to systemic risks transmission and the degree of markets’ development that affects their volatility. (shrink)

This paper is devoted to introduce a novel fourth-order hyperchaotic system. The hyperchaotic system is constructed by adding a linear feedback control level based on a modified Lorenz-like chaotic circuit with reduced number of amplifiers. The local dynamical entities, such as the basic dynamical behavior, the divergence, the eigenvalue, and the Lyapunov exponents of the new hyperchaotic system, are all investigated analytically and numerically. Then, an active control method is derived to achieve global chaotic synchronization of (...) the novel hyperchaotic system through making the synchronization error system asymptotically stable at the origin based on Lyapunov stability theory. Next, the proposed novel hyperchaotic system is applied to construct another new hyperchaotic system with circuit deformation and design a new hyperchaotic secure communication circuit. Furthermore, the implementation of two novel electronic circuits of the proposed hyperchaotic systems is presented, examined, and realized using physical components. A good qualitative agreement is shown between the simulations and the experimental results around 500 kHz and below 1 MHz. (shrink)

Many problems in environmental ethics are what have been called “global systemic problems,” problems in which what happens in one part of the world affects preservationist efforts elsewhere. Restoration of the Everglades is one such example. If global warming continues, the Everglades may well be flooded within the next quarter to half century and all restoration efforts will be for naught. Yet, the United States government is both pursuing restorationist efforts and withdrawing from the Kyoto Protocol on emissions (...) of greenhouse gases. One aspect of global systemic problems concerns whether there are interconnections between the preservationist obligations of the locals and the duties of others. There are three main lines of arguments for concluding that there are, indeed, interconnected obligations in such cases. First, the consequentialist case for imposing duties on locals assumes that others do not have inconsistent consequentialist obligations. In addition, a related consequentialist case can be made that when problems are systemic, others have positive supportive duties. Second, a weak principle of reciprocity supports the interconnectedness of obligations. Insistence that someone has an obligation that benefits you implies the duty not to act to undermine the efforts of that person to fulfill that obligation. Third, a weak principle of fairness—that it is only fair to expect one person to bear the burdens of producinga collective good if others have obligations to do their cooperative part—supports interconnected obligations with regard to global systemic problems. Because all three arguments point to the same conclusion, there is a very strong case for interconnected obligations as part of the solution to global systemic problems—problems that are all too prevalent in our world today. (shrink)

The output feedback controller is designed for a class of stochastic nonlinear systems that satisfy uncertain function growth conditions for the first time. The multivariate function growth condition has greatly relaxed the restrictions on the drift and diffusion terms in the original stochastic nonlinear system. Here, we cleverly handle the problem of uncertain functions in the scaling process through the function maxima theory so that the Ito differential system can achieve output stabilization through Lyapunov function design and the (...) solution of stochastic nonlinear system objects satisfies the existence of uniqueness, ensuring that the system is globally asymptotically stable in the sense of probability. Furthermore, it is concluded that the system is inversely optimally stable in the sense of probability. Finally, we apply the theoretical results to the practical subsea intelligent electroexecution robot control system and obtain good results. (shrink)

Many problems in environmental ethics are what have been called “global systemic problems,” problems in which what happens in one part of the world affects preservationist efforts elsewhere. Restoration of the Everglades is one such example. If global warming continues, the Everglades may well be flooded within the next quarter to half century and all restoration efforts will be for naught. Yet, the United States government is both pursuing restorationist efforts and withdrawing from the Kyoto Protocol on emissions (...) of greenhouse gases. One aspect of global systemic problems concerns whether there are interconnections between the preservationist obligations of the locals and the duties of others. There are three main lines of arguments for concluding that there are, indeed, interconnected obligations in such cases. First, the consequentialist case for imposing duties on locals assumes that others do not have inconsistent consequentialist obligations. In addition, a related consequentialist case can be made that when problems are systemic, others have positive supportive duties. Second, a weak principle of reciprocity supports the interconnectedness of obligations. Insistence that someone has an obligation that benefits you implies the duty not to act to undermine the efforts of that person to fulfill that obligation. Third, a weak principle of fairness—that it is only fair to expect one person to bear the burdens of producinga collective good if others have obligations to do their cooperative part—supports interconnected obligations with regard to global systemic problems. Because all three arguments point to the same conclusion, there is a very strong case for interconnected obligations as part of the solution to global systemic problems—problems that are all too prevalent in our world today. (shrink)

In this work we extend approximate aggregation methods in time discrete linear models to the case of time varying environments. Approximate aggregation consists in describing some features of the dynamics of a general system involving many coupled variables in terms of the dynamics of a reduced system with a few number of variables. We present a time discrete time varying model in which we distinguish two time scales. By using perturbation methods we transform the system to make (...) the global variables appear and build up the aggregated system. The asymptotic relationships between the general and aggregated systems are explored in the cases of a cyclically varying environment and a changing environment in process of stabilization. We show that under quite general conditions the knowledge of the behavior of the aggregated system characterizes that of the general system. The general method is also applied to aggregate a multiregional time dependent Leslie model showing that the aggregated model has demographic rates depending on the equilibrium proportions of individuals in the different patches. (shrink)

In this paper, we investigate the dynamics of autonomous and nonautonomous stochastic toxin-producing phytoplankton–zooplankton system. For the autonomous system, we establish the sufficient conditions for the existence of the globally positive solution as well as the solution of population extinction and persistence in the mean. Furthermore, by constructing some suitable Lyapunov functions, we also prove that there exists a single stationary distribution which is ergodic, what is more important is that Lyapunov function does not depend on existence and (...) stability of equilibrium. For the nonautonomous periodic system, we prove that there exists at least one nontrivial positive periodic solution according to the theory of Khasminskii. Finally, some numerical simulations are introduced to illustrate our theoretical results. The results show that weaker white noise and/or toxicity will strengthen the stability of system, while stronger white noise and/or toxicity will result in the extinction of one or two populations. (shrink)

This work identifies the influence of chaos theory on fractional calculus by providing a theorem for the existence and stability of solution in fractional-order gyrostat model with the help of a fixed-point theorem. We modified an integer order gyrostat model consisting of three rotors into fractional order by attaching rotatory fuel-filled tank and provided an iterative scheme for our proposed model as a working rule of obtained analytical results. Moreover, this iterative scheme is injected into algorithms for a (...) class='Hi'>system of integer order dynamical systems to observe Lyapunov exponents and a bifurcation diagram for our proposed fractional-order dynamical model. Furthermore, we obtained five equilibrium points, including four unstable spirals and one saddle node, using local dynamical analysis which acted as self-exciting attractors and a separatrix in a global domain. (shrink)

A double delayed hybrid stochastic prey-predator bioeconomic system with Lévy jumps is established and analyzed, where commercial harvesting on prey and environmental stochasticity on population dynamics are considered. Two discrete time delays are utilized to represent the maturation delay of prey and gestation delay of predator, respectively. For a deterministic system, positivity of solutions and uniform persistence of system are discussed. Some sufficient conditions associated with double time delays are derived to discuss asymptotic stability of interior (...) equilibrium. For a stochastic system, existence and uniqueness of a global positive solution are studied. By using the invariant measure theory and singular boundary theory of diffusion process, existence of stochastic Hopf bifurcation and stochastic stability are investigated. By constructing appropriate Lyapunov functions, asymptotic dynamic behavior of the proposed hybrid stochastic system with double time delays and Lévy jumps is discussed. Numerical simulations are provided to show consistency with theoretical analysis. (shrink)