Authors Referees APS Members |
January 2008, to be published in Physical Review E
Collective oscillations in the classical nonlinear response of a chaotic
system
We establish a general semi-quantitative phase-space picture of classical nonlinear response in a strongly chaotic system. As opposed to the case of stable dynamics, the response functions decay exponentially at long times. Damped oscillations in response functions are attributed to collective resonances which do not correspond to any periodic classical motions. We calculate analytically the second-order response in a simple chaotic system and demonstrate the relevance of the concept for interpretation of spectroscopic data. © 2008 The American Physical Society.
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