Chaos

Edited by Jon Lawhead (University of Southern California)
About this topic
Summary Chaotic systems have two definitive properties: (1) they are deterministic, and (2) their long-term behavior sensitively depends on their initial conditions.  Edward Lorenz, the father of modern chaos theory, summarized chaos as being present when "the past determines the future, but the approximate past doesn't determine the approximate future."  The most familiar depiction of chaotic behavior is the so-called "butterfly effect," in which a very small perturbation of the global weather system (the flapping of a butterfly's wings in Argentina) results in a very large change to that same system (the genesis of a hurricane in Texas three weeks later).  Of course, it is clear that not all butterfly flaps spawn hurricanes (thankfully!), so the central problem of chaos theory is the precise mathematical modeling of this sensitive dependence relationship, and the determination of when very small changes are likely to have very large effects.  Many important natural systems exhibit chaotic dynamics under certain circumstances; in addition to the global weather system, the global climate, social systems (like the economy), and biological systems (like the human brain) can sometimes exhibit chaotic dynamics.  The understanding and modeling of chaos is an important part of understanding complex natural systems.
Key works Lorenz 1963 is the earliest mature articulation of the central ideas of chaos theory, though it builds on concepts from Saltzman 1962.  More recent developments of the formalism include Abarbanel 1992 and Guan unknown.  The concept has also been expanded to define a notion of structural chaos by Mayo-Wilson 2015.
Introductions Strogatz 2001Auyang manuscriptLorenz 1963Lawhead forthcoming
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  1. added 2020-05-08
    Panpsichismo, teoria della complessità e proprietà quanto-psicoidi del Sè.Donato Santarcangelo - 2020 - Ombra 13.
    The thesis of this paper is that panpsychism theory is very close to jungian theory, especially thinking of the quantum psychoid aspects of C.G.Jung and W.Pauli theory: a psyche that touches matter and matter with a “latent psyche”. The two theories seem to describe the same reality, an animation of matter in a spiritual sense, as the jungian Self seems to do at a higher level.The complexity theory appears instead to be a description of reality still nomothetic.
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  2. added 2020-02-27
    Dark Matters and Hidden Variables of Unitary Science: How Neglected Complexity Generates Mysteries and Crises, From Quantum Mechanics and Cosmology to Genetics and Global Development Risks.Andrei P. Kirilyuk - manuscript
    The unreduced many-body interaction problem solution, absent in usual science framework, reveals a new quality of emerging multiple, equally real but mutually incompatible system configurations, or “realisations”, giving rise to the universal concept of dynamic complexity and chaoticity. Their imitation by a single, “average” realisation or trajectory in usual theory (corresponding to postulated “exact” or perturbative problem solutions) is a rough simplification of reality underlying all stagnating and emerging problems of conventional (unitary) science, often in the form of missing, or (...)
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  3. added 2019-11-06
    Antidepressants and the Chaotic Brain: Implications for the Respectful Treatment of Selves.Douglas W. Heinrichs - 2005 - Philosophy, Psychiatry, and Psychology 12 (3):215-227.
  4. added 2019-11-06
    The Uses of Borrowed Knowledge: Chaos Theory and Antidepressants.Stephen H. Kellert - 2005 - Philosophy, Psychiatry, and Psychology 12 (3):239-242.
  5. added 2019-11-06
    Determined by Chaos: The Nonlinear Dynamics of Free Will.Jessica Wahman - 2005 - Philosophy, Psychiatry, and Psychology 12 (3):235-237.
  6. added 2019-10-24
    What Could Be Worse Than the Butterfly Effect?Robert C. Bishop - 2008 - Canadian Journal of Philosophy 38 (4):519-547.
    The discovery of sensitive dependence on initial conditions (SDIC) in nonlinear models runs counter to the textbook vision of CM, a vision guided by an almost exclusive focus on linear systems. Therefore, it is important to clearly distinguish between linear and nonlinear systems along with establishing some basic terminology (§I). The notions of SDIC and chaos also need clarification, since they play crucial roles in sensitive dependence (SD) arguments. This will require some discussion of Lyapunov exponents as well as the (...)
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  7. added 2019-10-11
    Peter Smith, Explaining Chaos Reviewed By. [REVIEW]Alexander Rueger - 1999 - Philosophy in Review 19 (5):375-378.
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  8. added 2019-07-12
    A Philosophical Analysis of Chaos Theory.Lena Zuchowski - 2017 - Cham: Palgrave MacMillan.
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  9. added 2019-06-06
    A Wave in the Stream of Chaos: Life Beyond the Body in Heidegger’s Nietzsche.William McNeill - 2006 - Philosophy Today 50 (Supplement):156-161.
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  10. added 2019-06-06
    The Ergodic Hierarchy, Randomness and Hamiltonian Chaos.Joseph Berkovitz, Roman Frigg & Fred Kronz - 2006 - Studies in History and Philosophy of Modern Physics 37 (4):661-691.
    Various processes are often classified as both deterministic and random or chaotic. The main difficulty in analysing the randomness of such processes is the apparent tension between the notions of randomness and determinism: what type of randomness could exist in a deterministic process? Ergodic theory seems to offer a particularly promising theoretical tool for tackling this problem by positing a hierarchy, the so-called ‘ergodic hierarchy’, which is commonly assumed to provide a hierarchy of increasing degrees of randomness. However, that notion (...)
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  11. added 2019-06-06
    The Search for Ontological Emergence.Michael Silberstein & John Mcgeever - 1999 - Philosophical Quarterly 49 (195):201-214.
    We survey and clarify some recent appearances of the term ‘emergence’. We distinguish epistemological emergence, which is merely a limitation of descriptive apparatus, from ontological emergence, which should involve causal features of a whole system not reducible to the properties of its parts, thus implying the failure of part/whole reductionism and of mereological supervenience for that system. Are there actually any plausible cases of the latter among the numerous and various mentions of ‘emergence’ in the recent literature? Quantum mechanics seems (...)
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  12. added 2019-06-06
    Ilya Prigogine & Isabelle Stengers. Order Out of Chaos: Man's New Dialogue with Nature. London: Heinemann, 1984. Pp. Xxxi + 349. ISBN 434-603953. £9.95. [REVIEW]Stephen Brush - 1986 - British Journal for the History of Science 19 (3):371-372.
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  13. added 2019-06-05
    Złożoność Wokół Nas. Część Pierwsza: Gra W Chaos.Dawid Lubiszewski - 2010 - Avant: Trends in Interdisciplinary Studies 1 (1).
    Complex phenomena – like structures or processes – are intriguing scientists around the world. There are many reasons why complexity is a popular topic of research. Having that all in mind I would like to focus in this introductory article on one example of complexity, that is structural complexity where complex geometrical patterns appear as the result of the simple rules of an algorithm – known as the chaos game. Therefore the aim of this paper is an invitation to more (...)
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  14. added 2019-06-05
    In the Wake of Chaos: Unpredictable Order in Dynamic Systems. Stephen H. Kellert.Lawrence Sklar - 1997 - Philosophy of Science 64 (1):184-185.
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  15. added 2019-04-23
    Complex-Dynamic Origin of Quantised Relativity and Its Manifestations at Higher Complexity Levels.Andrei P. Kirilyuk - 2017 - In A. P. Kirilyuk, Theory of Everything, Ultimate Reality and the End of Humanity: Extended Sustainability by the Universal Science of Complexity. Beau Bassin: LAP LAMBERT Academic Publishing. pp. 186-194.
    Unified and causal complex-dynamic origin of standard (special and general) relativistic and quantum effects revealed previously at the lowest levels of world interaction dynamics is explicitly generalised to all higher levels of unreduced interaction processes, thus additionally confirming the causally complete character of complex-dynamical, naturally quantised relativity, which does not contain any artificially added, abstract postulates. We demonstrate some elementary applications of this generalised quantum relativity at higher levels of complex brain and social interaction dynamics.
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  16. added 2019-04-07
    De amore.Andrej Poleev - 2018
  17. added 2019-01-21
    The Rise of the Technobionts: Toward a New Ontology to Understand Current Planetary Crisis.Gustavo Magallanes Guijón & O. López-Corona - forthcoming - Researchers.One.
    Inhere we expand the concept of Holobiont to incorporate niche construction theory in order to increase our understanding of the current planetary crisis. By this, we propose a new ontology, the Ecobiont, as the basic evolutionary unit of analysis. We make the case of Homo Sapiens organized around modern cities (technobionts) as a different Ecobiont from classical Homo Sapiens (i.e. Hunter- gatherers Homo Sapiens). We consider that Ecobiont ontology helps to make visible the coupling of Homo Sapiens with other biological (...)
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  18. added 2018-02-14
    Theory of Everything, Ultimate Reality and the End of Humanity: Extended Sustainability by the Universal Science of Complexity.Andrei P. Kirilyuk - 2017 - Beau Bassin: LAP LAMBERT Academic Publishing.
    Instead of postulated fixed structures and abstract principles of usual positivistic science, the unreduced diversity of living world reality is consistently derived as dynamically emerging results of unreduced interaction process development, starting from its simplest configuration of two coupled homogeneous protofields. The dynamically multivalued, or complex and intrinsically chaotic, nature of these real interaction results extends dramatically the artificially reduced, dynamically single-valued projection of standard theory and solves its stagnating old and accumulating new problems, “mysteries” and “paradoxes” within the unified (...)
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  19. added 2017-12-13
    What Are the New Implications of Chaos for Unpredictability?Charlotte Werndl - 2009 - British Journal for the Philosophy of Science 60 (1):195-220.
    From the beginning of chaos research until today, the unpredictability of chaos has been a central theme. It is widely believed and claimed by philosophers, mathematicians and physicists alike that chaos has a new implication for unpredictability, meaning that chaotic systems are unpredictable in a way that other deterministic systems are not. Hence, one might expect that the question ‘What are the new implications of chaos for unpredictability?’ has already been answered in a satisfactory way. However, this is not the (...)
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  20. added 2017-12-08
    Harvesting Wave Energy with Resonant Observers.Alfred Hubler & Thomas Kirsh - 2015 - Complexity 20 (4):6-7.
  21. added 2017-09-14
    Limits of Scientific Knowledge.John R. Albright - 2008 - In Paul David Numrich (ed.), The Boundaries of Knowledge in Buddhism, Christianity, and Science. Vandenhoeck & Ruprecht. pp. 15--184.
  22. added 2017-06-07
    The Theory of Chaos. [REVIEW]Steven James Bartlett - 1988 - Methodology and Science: Interdisciplinary Journal for the Empirical Study of the Foundations of Science and Their Methodology 21 (4):300-303.
    A review of James Glieck's _Chaos: Making a New Science_, noting how nonmonotonic functions self-referentially take on their own values and lead to complexity without randomness.
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  23. added 2017-02-14
    Organizing at the Edge of Chaos: Insights From Action Research.Donald MacLean & R. MacIntosh - 2011 - In Peter Allen, Steve Maguire & Bill McKelvey (eds.), The Sage Handbook of Complexity and Management. Sage Publications. pp. 235--253.
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  24. added 2017-02-13
    Parameters Estimation, Mixed Synchronization, and Antisynchronization in Chaotic Systems.Chunni Wang, Yujun He, Jun Ma & Long Huang - 2014 - Complexity 20 (1):64-73.
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  25. added 2017-02-13
    Chaotic or Random? Limits of the Characterization.M. Dubois - 1995 - In R. J. Russell, N. Murphy & A. R. Peacocke (eds.), Chaos and Complexity. Vatican Observatory Publications. pp. 3.
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  26. added 2017-02-11
    Synchronization of Circular Restricted Three Body Problem with Lorenz Hyper Chaotic System Using a Robust Adaptive Sliding Mode Controller.Ayub Khan & Mohammad Shahzad - 2013 - Complexity 18 (6):58-64.
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  27. added 2017-02-11
    A Noise Induced Phase Transition to Chaos in Systems with Static Friction.Alfred Hubler - 2013 - Complexity 18 (1):7-9.
  28. added 2017-02-11
    How to Create a Large Response From Chaotic Systems: Optimal Forcing Functions Complement the Natural Dynamics of a System.Alfred W. Hübler & Glenn C. Foster - 2006 - Complexity 11 (4):11-13.
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  29. added 2017-02-08
    Chaotic Hysteresis and Systemic Economic Transformation: Soviet Investment Patterns.J. Barkley Rosser & Robert W. Bond - unknown
    Economies making a transition from centrally planned socialism to market capitalism can experience chaotic hysteresis. This can arise from elements of the previous system persisting even as institutions are transformed with the system possibly experiencing chaos during this conflict. A model of investment cycles accompanied by technological stagnation shows this phenomenon which can be viewed from a cusp catastrophe perspective. Empirical tests of Soviet investment and construction data provide incomplete support for the cusp structure with chaos. Nonlinear structures are found (...)
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  30. added 2017-02-08
    Determinism, Predictability and Chaos.G. M. K. Hunt - 1987 - Analysis 47 (3):129 - 133.
  31. added 2017-02-08
    Deterministic Systems.Ryszard Wójcicki - 1975 - Erkenntnis 9 (2):219 - 227.
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  32. added 2017-02-07
    Reviews of the Reviews.Bruce Abell, L. M. Simmons, Michael McMaster & Thomas Petzinger - 1999 - Emergence: Complexity and Organization 1 (2):201-206.
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  33. added 2017-02-07
    Chaotic Attractors in the Therapeutic System.Sandy Berchulskl, Michael Conforti, Irene Guiter-Mazer & Jane Malone - 1995 - World Futures 44 (2):101-113.
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  34. added 2017-02-03
    Kinds of Unpredictability in Deterministic Systems.Gerhard Schurz - 1995 - In P. Weingartner & G. Schurz (eds.), Law and Prediction in the Light of Chaos Research. Springer. pp. 123--41.
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  35. added 2017-02-02
    Self-Fulfilling Chaotic Mistakes: Some Examples and Implications.Barkley Rosser - manuscript
    In talks given early in the 1990s, Jean-Michel Grandmont (1998) introduced the concept of the self-fulfilling mistake. This phenomenon can emerge when economic agents cannot distinguish between randomness and determinism, a situation that can occur when the underlying true dynamics are chaotic (Radunskaya, 1994), although such a situation could arise with other forms of complex nonlinear dynamics besides those involving chaotic dynamics. In such a situation, agents may be unable to discern the true dynamics and may adopt simple, boundedly rational (...)
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  36. added 2017-01-31
    Review of C. S. Bertuglia and F. Vaio, "Nonlinearity, Chaos, and Complexity".Michael Strevens - 2009 - British Journal for the Philosophy of Science 60 (2):447-451.
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  37. added 2017-01-30
    Qualitative Behavior of the Lorenz-Like Chaotic System Describing the Flow Between Two Concentric Rotating Spheres.Fuchen Zhang, Xiaofeng Liao & Guangyun Zhang - 2016 - Complexity 21 (S2):67-72.
    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 (...)
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  38. added 2017-01-29
    Comparing Chaos and Complexity : The Quest for Knowledge.Sylvia Elizabeth Greybe - unknown
    Thesis --University of Stellenbosch, 2004.
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  39. added 2017-01-29
    Chaos And Grace.David Flagel - 2007 - Journal of Ethics in Mental Health 2:1-1.
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  40. added 2017-01-29
    Julian Barnes’s ‘Shipwreck’ or Recycling Chaos Into Art.TomÁs Monterrey - 2004 - Clio: A Journal of Literature, History, and the Philosophy of History 33 (4):415-426.
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  41. added 2017-01-29
    Cosmos or Chaos: Theodicy, Love, and Existential Choice.Royce P. Grubic - 2004 - Dissertation, University of Southern California
    "Cosmos or Chaos: Theodicy, Love, and Existential Choice," explores in detail the social-psychological dimensions of cosmology and the tension between the ideas of cosmos and chaos in the history of Western thought, as these are manifested in philosophy, science, "pure" reason, and religion. In the process, the author seeks to provide the foundation for a viable existentialist social ethic, drawing upon the works of Camus, Sartre, Bergson, Unamuno, Dostoevsky, and the teachings of Theravada Buddhism. ;The dissertation is divided into six (...)
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  42. added 2017-01-29
    Order and Chaos in Gregory of Nyssa.Jonathan C. R. Hill - 1999
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  43. added 2017-01-29
    The Psychological Meaning of Chaos Translating Theory Into Practice.Frank Masterpasqua & Phyllis A. Perna - 1997
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  44. added 2017-01-29
    Tao of Chaos Merging East and West.Katya Mccall Walter - 1994
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  45. added 2017-01-29
    Randomness & Undecidability in Physics.Karl Svozil - 1993
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  46. added 2017-01-29
    FARJOUN, EMMANUEL and MACHOVER, MOSHE.: "Laws of Chaos". [REVIEW]D. G. Champernowne - 1985 - British Journal for the Philosophy of Science 36:348.
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  47. added 2017-01-29
    Laws of Chaos.Emmanuel Farjoun & Moshe Machover - 1985 - British Journal for the Philosophy of Science 36 (3):348-352.
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  48. added 2017-01-29
    Robert B. Carroll: "From Chaos to Covenant". [REVIEW]Howard N. Bream - 1985 - The Thomist 49 (1):154.
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  49. added 2017-01-29
    Brownell's The Philosopher in Chaos: An Attempt to Make Head and Tail of the Modern World. [REVIEW]Cerf Cerf - 1942 - Philosophy and Phenomenological Research 3:495.
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  50. added 2017-01-29
    W. G. Peck, From Chaos to Catholicism. [REVIEW]J. C. Mantripp - 1920 - Hibbert Journal 19:177.
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1 — 50 / 331