Coexisting attractors and circuit implementation of a new 4D chaotic system with two equilibria

Qiang Lai, Tsafack Nestor, Jacques Kengne and Xiao-Wen Zhao

Chaos, Solitons & Fractals, 2018, vol. 107, issue C, 92-102

Abstract: This letter proposes a new 4D autonomous chaotic system characterized by the abundant coexisting attractors and a simple mathematical description. The new system which is constructed from the Sprott B system is dissipative, symmetric, chaotic and has two unstable equilibria. For a given set of parameters, butterfly attractors are emerged from the system. These butterfly attractors will be broken into a pair of symmetric strange attractors with the variation of the parameters. A variety of coexisting attractors are spotted in the system including six periodic attractors, four periodic attractors with two chaotic attractors, two periodic attractors with three chaotic attractors, two periodic attractors with two chaotic attractors, four periodic attractors, etc. Finally, the system is established via an electronic circuit which can physically confirm the complex dynamics of the system.

Keywords: New 4D chaotic system; Coexisting attractors; Circuit implementation; Bifurcation diagram; Lyapunov spectrum (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:107:y:2018:i:c:p:92-102

DOI: 10.1016/j.chaos.2017.12.023

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