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Construction of a Class of High-Dimensional Discrete Chaotic Systems

Author

Listed:
  • Hongyan Zang

    (Mathematics and Physics School, University of Science and Technology Beijing, Beijing 100083, China)

  • Jianying Liu

    (Mathematics and Physics School, University of Science and Technology Beijing, Beijing 100083, China)

  • Jiu Li

    (Mathematics and Physics School, University of Science and Technology Beijing, Beijing 100083, China)

Abstract

In this paper, a class of n-dimensional discrete chaotic systems with modular operations is studied. Sufficient conditions for transforming this kind of discrete mapping into a chaotic mapping are given, and they are proven by the Marotto theorem. Furthermore, several special systems satisfying the criterion are given, the basic dynamic properties of the solution, such as the trace diagram and Lyapunov exponent spectrum, are analyzed, and the correctness of the chaos criterion is verified by numerical simulations.

Suggested Citation

  • Hongyan Zang & Jianying Liu & Jiu Li, 2021. "Construction of a Class of High-Dimensional Discrete Chaotic Systems," Mathematics, MDPI, vol. 9(4), pages 1-20, February.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:4:p:365-:d:497845
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    References listed on IDEAS

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    1. Elsadany, A.A. & Yousef, A.M. & Elsonbaty, Amr, 2018. "Further analytical bifurcation analysis and applications of coupled logistic maps," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 314-336.
    2. da Costa, Diogo Ricardo & Medrano-T, Rene O. & Leonel, Edson Denis, 2017. "Route to chaos and some properties in the boundary crisis of a generalized logistic mapping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 674-680.
    3. Shi, Yuming & Yu, Pei, 2006. "Study on chaos induced by turbulent maps in noncompact sets," Chaos, Solitons & Fractals, Elsevier, vol. 28(5), pages 1165-1180.
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    Cited by:

    1. Wu, Zihua & Zhang, Yinxing & Bao, Han & Lan, Rushi & Hua, Zhongyun, 2024. "nD-CS: A circularly shifting chaotic map generation method," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

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