Relaxation of finite perturbations: Beyond the Fluctuation-Response relation

Details Relaxation of finite perturbations: Beyond the Fluctuation-Response relation Relaxation of finite perturbations: Beyond the Fluctuation-Response relation

2002-10-11

arxiv.org/abs/nlin/0210021v2

Chaos, vol.13, pag.806 (2003)

Nonlinear Sciences

Chaotic Dynamics

7 pages, 5 figures

Scientific paper

10.1063/1.1579643

We study the response of dynamical systems to finite amplitude perturbation. A generalized Fluctuation-Response relation is derived, which links the average relaxation toward equilibrium to the invariant measure of the system and points out the relevance of the amplitude of the initial perturbation. Numerical computations on systems with many characteristic times show the relevance of the above relation in realistic cases.

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