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

Yinfang Ye and Jianbin He ()
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Yinfang Ye: School of Business Administration, Jimei University, Xiamen 361021, China
Jianbin He: School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China

Mathematics, 2024, vol. 12, issue 13, 1-14

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.

Keywords: chaos anti-control; multi-scroll chaotic attractor; topological horseshoe; circuit design (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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