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

Yue Li, Mingfeng Yuan and Zengqiang Chen

Chaos, Solitons & Fractals, 2022, vol. 159, issue C

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.

Keywords: Energy analysis; Dissipative attractor; Conservative flow; Coexisting phenomenon (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003241

DOI: 10.1016/j.chaos.2022.112114

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