A 3D memristive chaotic system with conditional symmetry

Ran Wang, Chunbiao Li, Sixiao Kong, Yicheng Jiang and Tengfei Lei

Chaos, Solitons & Fractals, 2022, vol. 158, issue C

Abstract: Based on the special structure of variable-boostable chaotic system VB24, a quadratic flux-controlled memristor is embedded for the construction of a 3D memristive chaotic system with conditional symmetry. Coexisting oscillations with conditional symmetry are confirmed systematically based on the bifurcation analysis and circuit verification. Two constants in the absolute value functions play the role of offset boosting, which modifies the distance between pairs of coexisting attractors separately in external and internal state space. Interestingly, any of two coexisting attractors with conditional symmetry could be symmetric or asymmetric. An analog circuit is designed to verify the coexisting oscillations as predicted.

Keywords: Memristive system; Conditional symmetry; Coexisting attractors; Offset boosting (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922002028

DOI: 10.1016/j.chaos.2022.111992

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