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.
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Schedule a callMore From: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena
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