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A 3D memristive chaotic system with conditional symmetry

Author

Listed:
  • Wang, Ran
  • Li, Chunbiao
  • Kong, Sixiao
  • Jiang, Yicheng
  • Lei, Tengfei

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.

Suggested Citation

  • Wang, Ran & Li, Chunbiao & Kong, Sixiao & Jiang, Yicheng & Lei, Tengfei, 2022. "A 3D memristive chaotic system with conditional symmetry," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    • Handle: RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922002028
    DOI: 10.1016/j.chaos.2022.111992
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    6. Meng Liu & Zhaoyan Wu & Xinchu Fu, 2022. "Dynamical Analysis of a One- and Two-Scroll Chaotic System," Mathematics, MDPI, vol. 10(24), pages 1-14, December.
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    9. Hairong Lin & Chunhua Wang & Fei Yu & Jingru Sun & Sichun Du & Zekun Deng & Quanli Deng, 2023. "A Review of Chaotic Systems Based on Memristive Hopfield Neural Networks," Mathematics, MDPI, vol. 11(6), pages 1-18, March.
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