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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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