A new five-dimensional non-Hamiltonian conservative hyperchaos system with multistability and transient properties

Qing Dong, Shihua Zhou, Qiang Zhang and Nikola K. Kasabov

Chaos, Solitons & Fractals, 2023, vol. 175, issue P1

Abstract: Recently, the majority of research in chaos field has focused on dissipative chaos systems, while conservative chaos systems, particularly conservative hyperchaos systems, have been largely overlooked. However, these systems possess more intricate dynamic properties and greater potential for practical applications than general chaos systems. This paper aims to address this gap by introducing two linear terms to the system equation of an existing five-dimensional Hamiltonian conservative hyperchaos system, based on the construction techniques of the existing conservative chaos system. As a result, a five-dimensional non-Hamiltonian conservative hyperchaos system without time-reversal symmetry is obtained, which exhibits complex dynamic properties. Specifically, the system displays multi-stable characteristics with consistent parameters but varying initial conditions. Furthermore, during the study of the system's transient characteristics, a unique phenomenon was observed, namely intermittent chaos and intermittent quasi-periodic characteristics. Finally, the system's sequences were evaluated using the NIST test, and the results indicated their good level of pseudo-randomness.

Keywords: Non-Hamiltonian conservative hyperchaos system; Intermittent chaos; Intermittent quasi-periodic; Multistability (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:175:y:2023:i:p1:s0960077923008998

DOI: 10.1016/j.chaos.2023.113998

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