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Constructing a New Multi-Scroll Chaotic System and Its Circuit Design

Author

Listed:
  • Yinfang Ye

    (School of Business Administration, Jimei University, Xiamen 361021, China)

  • Jianbin He

    (School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China)

Abstract

Multi-scroll chaotic systems have complex dynamic behaviors, and the multi-scroll chaotic system design and analysis of their dynamic characteristics is an open research issue. This study explores a new multi-scroll chaotic system derived from an asymptotically stable linear system and designed with a uniformly bounded controller. The main contributions of this paper are given as follows: (1) The controlled system can cause chaotic behavior with an appropriate control position and parameters values, and a new multi-scroll chaotic system is proposed using a bounded sine function controller. Meanwhile, the dynamical characteristics of the controlled system are analyzed through the stability of the equilibrium point, a bifurcation diagram, and Lyapunov exponent spectrum. (2) According to the Poincaré section, the existence of a topological horseshoe is proven using the rigorous computer-aided proof in the controlled system. (3) Numerical results of the multi-scroll chaotic system are shown using Matlab R2020b, and the circuit design is also given to verify the multi-scroll chaotic attractors.

Suggested Citation

  • Yinfang Ye & Jianbin He, 2024. "Constructing a New Multi-Scroll Chaotic System and Its Circuit Design," Mathematics, MDPI, vol. 12(13), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:13:p:1931-:d:1419897
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    References listed on IDEAS

    as
    1. Peng, Hongxin & Ji’e, Musha & Du, Xinyu & Duan, Shukai & Wang, Lidan, 2023. "Design of pseudorandom number generator based on a controllable multi-double-scroll chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Manoj Joshi & Vivek Bhatt & Ashish Ranjan, 2023. "A single parametrically controlled megastable multiscroll attractor with an unstable node," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(5), pages 1-9, May.
    Full references (including those not matched with items on IDEAS)

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