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A new two-parameter controllable multi-scroll 4D Hamiltonian conservative hyperchaotic system with improved nested COS-PWL function

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  • Zhao, Tingkai
  • Sun, Xu
  • Fan, Zhenyi
  • Du, Baoxiang

Abstract

A new two-parameter controllable multi-scroll Hamiltonian conservative hyperchaotic system is proposed in this paper. By utilizing an improved nested cosine-piecewise linear (COS-PWL) saturation function in combination with a 4D Hamiltonian conservative system, a 4D Hamiltonian conservative hyperchaotic system that can regulate multi-scroll according to two parameters is proposed. Compared with the nested Sine-PWL function, the system can produce hyperchaos. And the control parameter is more than just the saturation value E, the gain p is more sensitive to the wider control range of the system’s multi-scroll. The effect of the variation of the saturation value E and gain p of the control parameters on the phase trajectories of the multi-scroll is consistent with the behavior of the Lyapunov exponents (LEs) and bifurcations. Finally, we successfully constructed the system via the DSP hardware platform, demonstrating its practicality.

Suggested Citation

  • Zhao, Tingkai & Sun, Xu & Fan, Zhenyi & Du, Baoxiang, 2024. "A new two-parameter controllable multi-scroll 4D Hamiltonian conservative hyperchaotic system with improved nested COS-PWL function," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    • Handle: RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924011378
    DOI: 10.1016/j.chaos.2024.115585
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    References listed on IDEAS

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    1. Bao, Han & Ding, Ruoyu & Chen, Bei & Xu, Quan & Bao, Bocheng, 2023. "Two-dimensional non-autonomous neuron model with parameter-controlled multi-scroll chaotic attractors," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
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    3. Jia, Hongyan & Liu, Jingwen & Li, Wei & Du, Meng, 2023. "A family of new generalized multi-scroll Hamiltonian conservative chaotic flows on invariant hypersurfaces and FPGA implementation," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
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    Cited by:

    1. Zeng, Jian & Ding, Qun, 2025. "New methods for constructing 2n / 2n+1-dimensional conservative chaotic systems and FPGA implementation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 674(C).
    2. Minati, Ludovico & Folifack Signing, Vitrice Ruben & Kamdjeu Kengne, Léandre & Zhao, Manyu & Valdes-Sosa, Pedro Antonio & Ito, Hiroyuki & Zhang, Xu & Ricci, Leonardo & Letellier, Christophe, 2025. "A three-dimensional non-autonomous conservative chaotic system based on cross-phase-coupled oscillators: Theoretical analysis and electronic realization," Chaos, Solitons & Fractals, Elsevier, vol. 200(P1).

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