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A family of new generalized multi-scroll Hamiltonian conservative chaotic flows on invariant hypersurfaces and FPGA implementation

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  • Jia, Hongyan
  • Liu, Jingwen
  • Li, Wei
  • Du, Meng

Abstract

A family of new generalized multi-scroll Hamiltonian conservative chaotic systems(HCCSs) are firstly found by investigating Hamiltonian energy of a Hamiltonian conservative chaotic system. And the novelty of the family of new generalized multi-scroll HCCSs is that they are on some invariant hypersurfaces depending on Hamiltonian energy. Subsequently, some numerical analysis are given to show multi-scroll chaotic dynamics and complex characteristics of the family of new generalized multi-scroll HCCSs. Finally, FPGA circuits are employed to implement the family of new generalized multi-scroll HCCSs, which not only physically show the existence of multi-scroll dynamics, but also provide a family of new pseudo-random signal generators for engineering applications.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:172:y:2023:i:c:s0960077923004381
    DOI: 10.1016/j.chaos.2023.113537
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    References listed on IDEAS

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