Extreme multistability in a memristor-based multi-scroll hyper-chaotic system

Journal Article · Fri Jul 15 00:00:00 EDT 2016 · Chaos (Woodbury, N. Y.)

DOI:https://doi.org/10.1063/1.4958296· OSTI ID:22596628

Yuan, Fang; Wang, Guangyi ^[1]; Wang, Xiaowei ^[2]

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1. Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018 (China)
2. Department of Automation, Shanghai University, Shanghai 200072 (China)

In this paper, a new memristor-based multi-scroll hyper-chaotic system is designed. The proposed memristor-based system possesses multiple complex dynamic behaviors compared with other chaotic systems. Various coexisting attractors and hidden coexisting attractors are observed in this system, which means extreme multistability arises. Besides, by adjusting parameters of the system, this chaotic system can perform single-scroll attractors, double-scroll attractors, and four-scroll attractors. Basic dynamic characteristics of the system are investigated, including equilibrium points and stability, bifurcation diagrams, Lyapunov exponents, and so on. In addition, the presented system is also realized by an analog circuit to confirm the correction of the numerical simulations.

• OSTI ID: 22596628
• Journal Information: Chaos (Woodbury, N. Y.), Journal Name: Chaos (Woodbury, N. Y.) Journal Issue: 7 Vol. 26; ISSN CHAOEH; ISSN 1054-1500
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICS AND COMPUTING
ATTRACTORS
BIFURCATION
CHAOS THEORY
COMPUTERIZED SIMULATION
EQUILIBRIUM
LYAPUNOV METHOD
STABILITY