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  1.  42
    A New Megastable Chaotic Oscillator with Blinking Oscillation terms.Dhinakaran Veeman, Hayder Natiq, Nadia M. G. Al-Saidi, Karthikeyan Rajagopal, Sajad Jafari & Iqtadar Hussain - 2021 - Complexity 2021:1-12.
    Recently, megastable systems have grabbed many researchers’ interests in the area of nonlinear dynamics and chaotic systems. In this paper, the oscillatory terms’ coefficients of the simplest megastable oscillator are forced to blink in time. The forced system can generate an infinitive number of hidden attractors without changing parameters. The behavior of these hidden attractors can be chaotic, tori, and limit cycle. The attractors’ topology of the system seems unique and looks like picture frames. Besides, the existence of different coexisting (...)
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  2.  33
    A Novel Megastable Oscillator with a Strange Structure of Coexisting Attractors: Design, Analysis, and FPGA Implementation.Kui Zhang, M. D. Vijayakumar, Sajjad Shaukat Jamal, Hayder Natiq, Karthikeyan Rajagopal, Sajad Jafari & Iqtadar Hussain - 2021 - Complexity 2021:1-11.
    Megastable chaotic systems are somehow the newest in the family of special chaotic systems. In this paper, a new megastable two-dimensional system is proposed. In this system, coexisting attractors are in some islands, interestingly covered by megalimit cycles. The introduced two-dimensional system has no defined equilibrium point. However, it seems that the origin plays the role of an unstable equilibrium point. Therefore, the attractors are determined as hidden attractors. Adding a forcing term to the system, we can obtain chaotic solutions (...)
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  3.  20
    A Novel Highly Nonlinear Quadratic System: Impulsive Stabilization, Complexity Analysis, and Circuit Designing.Arthanari Ramesh, Alireza Bahramian, Hayder Natiq, Karthikeyan Rajagopal, Sajad Jafari & Iqtadar Hussain - 2022 - Complexity 2022:1-14.
    This work introduces a three-dimensional, highly nonlinear quadratic oscillator with no linear terms in its equations. Most of the quadratic ordinary differential equations such as Chen, Rossler, and Lorenz have at least one linear term in their equations. Very few quadratic systems have been introduced and all of their terms are nonlinear. Considering this point, a new quadratic system with no linear term is introduced. This oscillator is analyzed by mathematical tools such as bifurcation and Lyapunov exponent diagrams. It is (...)
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  4.  10
    Synchronous Reluctance Motor: Dynamical Analysis, Chaos Suppression, and Electronic Implementation.Balamurali Ramakrishnan, Andre Chéagé Chamgoué, Hayder Natiq, Jules Metsebo & Alex Stephane Kemnang Tsafack - 2022 - Complexity 2022:1-11.
    Dynamical analysis, chaos suppression and electronic implementation of the synchronous reluctance motor without external inputs are investigated in this paper. The different dynamical behaviors found in the SynRM without external inputs are illustrated in the two parameters largest Lyapunov exponent diagrams, one parameter bifurcation diagram, and phase portraits. The three single controllers are designed to suppress the chaotic behaviors found in SynRM without external inputs. The three proposed single controllers are simple and easy to implement. Numerical simulation results show that (...)
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  5.  24
    A Simple Conservative Chaotic Oscillator with Line of Equilibria: Bifurcation Plot, Basin Analysis, and Multistability.Dhinakaran Veeman, Hayder Natiq, Ahmed M. Ali Ali, Karthikeyan Rajagopal & Iqtadar Hussain - 2022 - Complexity 2022:1-7.
    Here, a novel conservative chaotic oscillator is presented. Various dynamics of the oscillator are examined. Studying the dynamical properties of the oscillator reveals its unique behaviors. The oscillator is multistable with symmetric dynamics. Equilibrium points of the oscillator are investigated. Bifurcations, Lyapunov exponents, and the Poincare section of the oscillator’s dynamics are analyzed. Also, the oscillator is investigated from the viewpoint of initial conditions. The study results show that the oscillator is conservative and has no dissipation. It also has various (...)
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