Work

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

Year: 2024

Type: article

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.

Source: Chaos An Interdisciplinary Journal of Nonlinear Science

DOI: 10.1063/5.0205144

Authors: Xu Sun, Xiangxin Leng, Bowen Tian, Baoxiang Du

Institutions: Heilongjiang University, Huazhong University of Science and Technology, Zhengzhou University of Science and Technology

Language: English

Topic: Chaos control and synchronization

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Department of Education, Heilongjiang Province

Award: G5298203244