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

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

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.

Suggested Citation

  • Dong, Qing & Zhou, Shihua & Zhang, Qiang & Kasabov, Nikola K., 2023. "A new five-dimensional non-Hamiltonian conservative hyperchaos system with multistability and transient properties," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923008998
    DOI: 10.1016/j.chaos.2023.113998
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    References listed on IDEAS

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    1. Pawe{l} O'swik{e}cimka & Stanis{l}aw Dro.zd.z & Mattia Frasca & Robert Gk{e}barowski & Natsue Yoshimura & Luciano Zunino & Ludovico Minati, 2020. "Wavelet-based discrimination of isolated singularities masquerading as multifractals in detrended fluctuation analyses," Papers 2004.03319, arXiv.org.
    2. Leng, Xiangxin & Gu, Shuangquan & Peng, Qiqi & Du, Baoxiang, 2021. "Study on a four-dimensional fractional-order system with dissipative and conservative properties," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    3. Enzeng Dong & Xiaodong Jiao & Shengzhi Du & Zengqiang Chen & Guoyuan Qi, 2020. "Modeling, Synchronization, and FPGA Implementation of Hamiltonian Conservative Hyperchaos," Complexity, Hindawi, vol. 2020, pages 1-13, April.
    4. Zhang, Zefeng & Huang, Lilian & Liu, Jin & Guo, Qiang & Yu, Changdong & Du, Xiuli, 2023. "Construction of a family of 5D Hamiltonian conservative hyperchaotic systems with multistability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 620(C).
    5. Enzeng Dong & Guanghan Liu & Zenghui Wang & Zengqiang Chen, 2020. "Energy Conservation, Singular Orbits, and FPGA Implementation of Two New Hamiltonian Chaotic Systems," Complexity, Hindawi, vol. 2020, pages 1-15, April.
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