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Multi-parameter analysis of transition from conservative to dissipative behaviors for a reversible dynamic system

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  • Li, Yue
  • Yuan, Mingfeng
  • Chen, Zengqiang

Abstract

In this paper, an existing reversible system is reviewed. First, the energy of the system is analyzed, and a numerical derivation finds that the system satisfies energy-conservative if there are no external forces. Then, the transition from conservative to dissipative behaviors of system is demonstrated by the dynamical evolution map and differentiation map. In addition, the coexisting phenomena of conservative and dissipative behaviors in the system are proven by some numerical techniques including Lyapunov exponents and divergence. More interestingly, when the system has only conservative behaviors, these conservative behaviors are only valid within a small range. When the initial values exceed this range, the motions generated by the system will show dissipative behaviors, which has never been seen in the previous literatures.

Suggested Citation

  • Li, Yue & Yuan, Mingfeng & Chen, Zengqiang, 2022. "Multi-parameter analysis of transition from conservative to dissipative behaviors for a reversible dynamic system," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    • Handle: RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003241
    DOI: 10.1016/j.chaos.2022.112114
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    References listed on IDEAS

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    1. Faradja, Philippe & Qi, Guoyuan, 2020. "Analysis of multistability, hidden chaos and transient chaos in brushless DC motor," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    2. Zlatkovic, Bojana M. & Samardzic, Biljana, 2019. "Multiple spatial limit sets and chaos analysis in MIMO cascade nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 86-93.
    3. Cang, Shijian & Li, Yue & Kang, Zhijun & Wang, Zenghui, 2020. "Generating multicluster conservative chaotic flows from a generalized Sprott-A system," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
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    1. Li, Yue & Yuan, Mingfeng & Chen, Zengqiang, 2023. "Constructing 3D conservative chaotic system with dissipative term based on Shilnikov theorem," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).

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