On the stability of classical chaotic motion under system's perturbations
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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
4 pages, 5 figures, revtex; revised title, abstract and introduction, with minor modifications in the main text