A new four-dimensional chaotic system with rich transitional characteristics between dissipative and conservative

The general form of the Hamiltonian function serves as the foundation for the creation of a new four-dimensional chaotic system in this study. We discover that the external excitation parameter d, the internal parameter a, and all initial values have a transforming influence on the system property....

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2024-08, Vol.34 (8)
Main Authors: Sun, Xu, Leng, Xiangxin, Tian, Bowen, Du, Baoxiang
Format: Article
Language:English
Subjects:
Chaos theory
Complexity
Digital signal processing
Dissipation
Hamiltonian functions
Parameters
Sequences
Online Access:Get full text
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Summary:The general form of the Hamiltonian function serves as the foundation for the creation of a new four-dimensional chaotic system in this study. We discover that the external excitation parameter d, the internal parameter a, and all initial values have a transforming influence on the system property. Additionally, the corresponding fractional-order chaotic system in accordance with the constructed four-dimensional chaotic system is proposed. It is found that as the order q rises, the system transforms gradually from a dissipative system to a conservative system. Multiple coexisting attraction flows based on the Hamiltonian energy magnitude are present in this dual-property chaotic system. The complexity analysis shows that the system has a high level of complexity. NIST test indicates that the chaotic sequences produced by this dual-property chaotic system exhibit good pseudo-randomness. Finally, a Digital Signal Processing-based hardware platform confirms the physical realizability of the system.
ISSN:1054-1500
1089-7682
1089-7682
DOI:10.1063/5.0205144