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].

引用

页码：528 / 531

页数：4

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