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On the stability of classical chaotic motion under system's perturbations | | Giuliano Benenti
; Giulio Casati
; Gregor Veble
; | | Date: |
2 Aug 2002 | | Journal: | Phys. Rev. E 67, 055202(R) (2003) DOI: 10.1103/PhysRevE.67.055202 | | Subject: | Chaotic Dynamics | nlin.CD cond-mat | | 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. | | Source: | arXiv, nlin.CD/0208003 | | Services: | Forum | Review | PDF | Favorites | |
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