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APS » Journals » Phys. Rev. E » Volume 67 » Issue 5
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Phys. Rev. E 67, 055202(R) (2003) [4 pages]

Stability of classical chaotic motion under a system’s perturbations

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Giuliano Benenti1, Giulio Casati1,2, and Gregor Veble1,3
1International Center for the Study of Dynamical Systems, Università degli Studi dell’Insubria, Via Valleggio 11, 22100 Como, ItalyIstituto Nazionale per la Fisica della Materia, Unità di Como, Via Valleggio 11, 22100 Como, Italy
2Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Via Celoria 16, 20133 Milano, Italy
3Center for Applied Mathematics and Theoretical Physics, University of Maribor, Krekova ul. 2, SI-2000 Maribor, Slovenia

Received 11 September 2002; published 29 May 2003

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.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.67.055202
DOI:
10.1103/PhysRevE.67.055202
PACS:
05.45.Pq
 
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