On the stability of classical chaotic motion under system's perturbations

Abstract

We study in detail the time behavior of classical fidelity for chaotic systems. We show in particular that the asymptotic decay, depending on system dynamical properties, can be either exponential, with a rate determined by the gap in the discretized Perron-Frobenius operator, or algebraic, with the same power as for correlation functions decay. Therefore the decay of fidelity is strictly connected to correlations decay.

4 pages, 5 figures, revtex; revised title, abstract and introduction, with minor modifications in the main text

References in corpus (1)

• Long-Time Correlations in the Stochastic Regime

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