Asymptotic statistics of Poincare recurrences in Hamiltonian systems with divided phase space

被引：83
|
作者：
Chirikov, BV [1 ]
Shepelyansky, DL
机构：
[1] Univ Toulouse 3, CNRS, UMR 5626, Phys Quant Lab, F-31062 Toulouse 4, France
[2] Budker Inst Nucl Phys, Novosibirsk 630090, Russia
来源：
PHYSICAL REVIEW LETTERS | 1999年 / 82卷 / 03期
关键词：
D O I：
10.1103/PhysRevLett.82.528
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By different methods we show that for dynamical chaos in the standard map with critical golden curve, the Poincare recurrences P(tau) and correlations C(tau) decay asymptotically in time as P proportional to C/tau proportional to 1/tau(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. [S0031-9007(98)08272-6].
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收藏
页码：528 / 531
页数：4
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