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

Hongyan Jia, Jingwen Liu, Wei Li and Meng Du

Chaos, Solitons & Fractals, 2023, vol. 172, issue C

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.

Keywords: Multi-scroll; Hamiltonian; Conservative chaos; Invariant hypersurfaces; FPGA implementation (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:172:y:2023:i:c:s0960077923004381

DOI: 10.1016/j.chaos.2023.113537

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