Constructing conditional symmetry in symmetric chaotic systems

Chunbiao Li, Julien Clinton Sprott, Xin Zhang, Lin Chai and Zuohua Liu

Chaos, Solitons & Fractals, 2022, vol. 155, issue C

Abstract: Based on the analysis of polarity balance and exhaustive computer searching, a series of symmetric chaotic flows is found for hosting conditional symmetry. Symmetric structure shapes the elegant symmetric phase trajectory, and conditional symmetry permits the convenience of embedding an extra set of coexisting symmetric attractors. Bifurcation analysis proves the coexistence of two independent processes of dynamical behavior under conditional symmetry. Circuit simulation confirms the numerical and theoretical analysis.

Keywords: Offset boosting; Symmetry; Conditional symmetry (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921010778

DOI: 10.1016/j.chaos.2021.111723

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