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

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 hypersur...

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2023-07, Vol.172, p.113537, Article 113537
Main Authors: Jia, Hongyan, Liu, Jingwen, Li, Wei, Du, Meng
Format: Article
Language:English
Subjects:
Conservative chaos
FPGA implementation
Hamiltonian
Invariant hypersurfaces
Multi-scroll
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Summary: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. •Finds a family of new multi-scroll Hamiltonian conservative chaotic systems (HCCSs).•The family of new HCCSs are on some invariant hypersurfaces.•Both numerical analysis and FPGA implementation are given to show multi-scroll dynamics.
ISSN:0960-0779
DOI:10.1016/j.chaos.2023.113537