Extreme multistability of fractional-order hyperchaotic system based on dual memristors and its implementation

Dawei Ding, Xinyue Xu, Zongli Yang, Hongwei Zhang, Haifei Zhu and Tao Liu

Chaos, Solitons & Fractals, 2024, vol. 183, issue C

Abstract: In this paper, a fractional-order hyperchaotic system based on dual memristors is proposed by introducing flux-controlled and charge-controlled memristors into a simple RLC circuit. Dynamics of the hyperchaotic system are investigated using bifurcation diagrams, Lyapunov exponents spectrum (LEs), phase diagrams, time-domain diagrams, spectral entropy (SE) and C0 complexity. The results show that it has a plane of equilibria and exhibits rich dynamical characteristics, including hyperchaos, homogeneous and heterogeneous extreme multistability. Meanwhile, the transient transition phenomena as well as the effect of parameters on the complexity and chaotic behavior of the system are also studied. Furthermore, the practical implementation of the system is realized through analog and digital circuit. The experimental results validate the correctness of the theoretical analysis and help to make better use of the hyperchaotic system in applications such as secure communications.

Keywords: Memristors; Hyperchaotic; Homogeneous and heterogeneous extreme multistability; Analog and digital implementation (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:183:y:2024:i:c:s0960077924004302

DOI: 10.1016/j.chaos.2024.114878

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