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

Author:

Sun Xu1ORCID,Leng Xiangxin2,Tian Bowen3,Du Baoxiang1ORCID

Affiliation:

1. Electronic Engineering College, Heilongjiang University, Harbin 150080 1 , China

2. School of Artificial Intelligence and Automation, Huazhong University of Science and Technology 2 , Wuhan 430074, China

3. School of Electrical and Electronic Engineering, Zhengzhou University of Science and Technology 3 , Zhengzhou 450064, China

Abstract

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.

Funder

Department of Education, Heilongjiang Province

Publisher

AIP Publishing

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