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Bifurcation and bursting oscillations in 2D non-autonomous discrete memristor-based hyperchaotic map

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  • Deng, Yue
  • Li, Yuxia

Abstract

A lot of results for continuous-time memristor (CM) have been obtained. However, discrete memristor (DM), especially non-autonomous discrete memristor (NDM), has not been received adequate attention. In this paper, a new NDM model is proposed. Just only based on this model, a simple 2D NDM-based hyperchaotic (NDMH) map owning a line of fixed points is established. The NDMH map behaves several complex dynamical motions, including hyperchaos, bifurcation with parameters, and different forms of periodic and transient chaotic bursting oscillations. Meanwhile, the stability of fixed points is studied and the relationship with bifurcations and bursting oscillations is explored by theoretical analyses and numerical simulations.

Suggested Citation

  • Deng, Yue & Li, Yuxia, 2021. "Bifurcation and bursting oscillations in 2D non-autonomous discrete memristor-based hyperchaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    • Handle: RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004185
    DOI: 10.1016/j.chaos.2021.111064
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    References listed on IDEAS

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    Cited by:

    1. Bao, Han & Rong, Kang & Chen, Mo & Zhang, Xi & Bao, Bocheng, 2023. "Multistability and synchronization of discrete maps via memristive coupling," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Bao, H. & Gu, Y. & Xu, Q. & Zhang, X. & Bao, B., 2022. "Parallel bi-memristor hyperchaotic map with extreme multistability," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    3. Yuan, Fang & Xing, Guibin & Deng, Yue, 2023. "Flexible cascade and parallel operations of discrete memristor," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    4. Zhong, Huiyan & Li, Guodong & Xu, Xiangliang, 2022. "A generic voltage-controlled discrete memristor model and its application in chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    5. Fan, Zhenyi & Zhang, Chenkai & Wang, Yiming & Du, Baoxiang, 2023. "Construction, dynamic analysis and DSP implementation of a novel 3D discrete memristive hyperchaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    6. Huang, Lilian & Liu, Jin & Xiang, Jianhong & Zhang, Zefeng & Du, Xiuli, 2022. "A construction method of N-dimensional non-degenerate discrete memristive hyperchaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    7. Zhang, Shaohua & Zhang, Hongli & Wang, Cong, 2023. "Memristor initial-boosted extreme multistability in the novel dual-memristor hyperchaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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