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

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

2002-08-02

arxiv.org/abs/nlin/0208003v2

Phys. Rev. E 67, 055202(R) (2003)

Nonlinear Sciences

Chaotic Dynamics

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

Scientific paper

10.1103/PhysRevE.67.055202

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.

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