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A New Family of Chaotic Systems with Different Closed Curve Equilibrium

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  • Xinhe Zhu

    (School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China)

  • Wei-Shih Du

    (Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan)

Abstract

Chaotic systems with hidden attractors, infinite number of equilibrium points and different closed curve equilibrium have received much attention in the past six years. In this work, we introduce a new family of chaotic systems with different closed curve equilibrium. Using the methods of equilibrium points, phase portraits, maximal Lyapunov exponents, Kaplan–Yorke dimension, and eigenvalues, we analyze the dynamical properties of the proposed systems and extend the general knowledge of such systems.

Suggested Citation

  • Xinhe Zhu & Wei-Shih Du, 2019. "A New Family of Chaotic Systems with Different Closed Curve Equilibrium," Mathematics, MDPI, vol. 7(1), pages 1-8, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:94-:d:198496
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    References listed on IDEAS

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    1. Jafari, Sajad & Sprott, J.C., 2013. "Simple chaotic flows with a line equilibrium," Chaos, Solitons & Fractals, Elsevier, vol. 57(C), pages 79-84.
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    Cited by:

    1. Wei-Shih Du & Chung-Chuan Chen & Marko Kostić & Bessem Samet, 2023. "Preface to the Special Issue “Fixed Point Theory and Dynamical Systems with Applications”," Mathematics, MDPI, vol. 11(13), pages 1-2, June.

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