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arXiv · 0905.4940

Chaotic motion at the emergence of the time averaged energy decay

Cesar Manchein·Jane Rosa·Marcus W. Beims
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Abstract

A system plus environment conservative model is used to characterize the nonlinear dynamics when the time averaged energy for the system particle starts to decay. The system particle dynamics is regular for low values of the $N$ environment oscillators and becomes chaotic in the interval $13\le N\le15$, where the system time averaged energy starts to decay. To characterize the nonlinear motion we estimate the Lyapunov exponent (LE), determine the power spectrum and the Kaplan-Yorke dimension. For much larger values of $N$ the energy of the system particle is completely transferred to the environment and the corresponding LEs decrease. Numerical evidences show the connection between the variations of the {\it amplitude} of the particles energy time oscillation with the time averaged energy decay and trapped trajectories.

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Cesar Manchein, Jane Rosa, Marcus W. Beims. 2009-05-29. Chaotic motion at the emergence of the time averaged energy decay. https://doi.org/10.1016/j.physd.2009.05.004

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