title: Stability of classical chaotic motion under a 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.
authors.affiliation: International Center for the Study of Dynamical Systems, Università degli Studi dell'Insubria, Via Valleggio 11, 22100 Como, Italy.
authors.forename: Giuliano
authors.initials: G
authors.lastname: Benenti
authors.forename: Giulio
authors.initials: G
authors.lastname: Casati
authors.forename: Gregor
authors.initials: G
authors.lastname: Veble