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Hyperchaotic Circuit Based on Memristor Feedback with Multistability and Symmetries

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  • Xiaoyuan Wang
  • Xiaotao Min
  • Pengfei Zhou
  • Dongsheng Yu

Abstract

A novel hyperchaotic circuit is proposed by introducing a memristor feedback in a simple Lorenz-like chaotic system. Dynamic analysis shows that it has infinite equilibrium points and multistability. Additionally, the symmetrical coexistent attractors are investigated. Further, the hyperchaotic system is implemented by analogue circuits. Corresponding experimental results are completely consistent with the theoretical analysis.

Suggested Citation

  • Xiaoyuan Wang & Xiaotao Min & Pengfei Zhou & Dongsheng Yu, 2020. "Hyperchaotic Circuit Based on Memristor Feedback with Multistability and Symmetries," Complexity, Hindawi, vol. 2020, pages 1-10, February.
    • Handle: RePEc:hin:complx:2620375
    DOI: 10.1155/2020/2620375
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    Cited by:

    1. Wang, Xiaoyuan & Gao, Meng & Iu, Herbert Ho-Ching & Wang, Chunhua, 2022. "Tri-valued memristor-based hyper-chaotic system with hidden and coexistent attractors," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    2. Xianyang Xie & Shiping Wen & Yuming Feng & Babatunde Oluwaseun Onasanya, 2022. "Three-Stage-Impulse Control of Memristor-Based Chen Hyper-Chaotic System," Mathematics, MDPI, vol. 10(23), pages 1-16, December.

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