Relaxation of finite perturbations: Beyond the Fluctuation-Response relation

Preprint

1 July 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.nlin/0210021

Abstract

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.

Keywords

FLUCTUATION RESPONSE RELATION
MEASURE OF THE SYSTEM
FINITE PERTURBATIONS
RESPONSE RELATION
DYNAMICAL SYSTEMS
INVARIANT MEASURE
PERTURBATION
AMPLITUDE

All Related Versions

Version 1, 2002-10-11, ArXiv
Version 2, 2003-07-01, ArXiv
Published version: Chaos: An Interdisciplinary Journal of Nonlinear Science, 13 (3), 806.

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