Asymptotic Statistics of Poincaré Recurrences in Hamiltonian Systems with Divided Phase Space
arXiv:cond-mat/9807365 · doi:10.1103/PhysRevLett.82.528
Abstract
By different methods we show that for dynamical chaos in the standard map with critical golden curve the Poincaré recurrences P(τ) and correlations C(τ) asymptotically decay in time as P ~ C/τ~ 1/τ^3. It is also explained why this asymptotic behavior starts only at very large times. We argue that the same exponent p=3 should be also valid for a general chaos border.
revtex, 4 pages, 3 ps-figures
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