Parallel bi-memristor hyperchaotic map with extreme multistability

H. Bao, Y. Gu, Q. Xu, X. Zhang and B. Bao

Chaos, Solitons & Fractals, 2022, vol. 160, issue C

Abstract: Discrete memristors can be used to construct chaotic and hyperchaotic mapping models by self-feedback or coupling method, but these constructed maps do not have multistability or extreme multistability. Towards this end, by connecting two identical discrete memristors in parallel, this paper presents a novel parallel bi-memristor hyperchaotic map using the self-feedback method. This map has a plane fixed point set and its stability is entirely determined by memristor initial states. The control parameters-reliant hyperchaotic behaviors and the initial states-reliant coexisting behaviors are disclosed using several numerical methods. Complex dynamical behaviors closely relative to memristor and non-memristor initial states are demonstrated, indicating the occurrence of extreme multistability. Besides, a digital hardware platform is developed and the experimental results are captured to well validate the numerical ones. Consequently, the presented parallel bi-memristor map can display hyperchaotic dynamics and it is flexible to show extreme multistability.

Keywords: Discrete memristor; Plane fixed point set; Initial state; Extreme multistability; Parallel bi-memristor map (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922004830

DOI: 10.1016/j.chaos.2022.112273

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