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

共 22 条

[1]

ARTUSO R, IN PRESS

[2] UNIVERSAL INSTABILITY OF MANY-DIMENSIONAL OSCILLATOR SYSTEMS [J].

CHIRIKOV, BV .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1979, 52 (05) :263-379

[3]

CHIRIKOV BV, 1983, LECT NOTES PHYS, V179, P29

[4]

Chirikov BV, 1996, ZH EKSP TEOR FIZ+, V110, P1174

[5] CORRELATION-PROPERTIES OF DYNAMICAL CHAOS IN HAMILTONIAN-SYSTEMS [J].

CHIRIKOV, BV ;

SHEPELYANSKY, DL .

PHYSICA D, 1984, 13 (03) :395-400

[6]

CHIRIKOV BV, 1984, NAUKOVA DUMKA, V2, P420

[7]

CHIRIKOV BV, 1984, P INT C PLASMA PHYSI, V2, P761

[8]

CHIRIKOV BV, 1988, RENORMALIZATION GROU, P221

[9] GENERIC 1/F NOISE IN CHAOTIC HAMILTONIAN-DYNAMICS [J].

GEISEL, T ;

ZACHERL, A ;

RADONS, G .

PHYSICAL REVIEW LETTERS, 1987, 59 (22) :2503-2506

[10] METHOD FOR DETERMINING A STOCHASTIC TRANSITION [J].

GREENE, JM .

JOURNAL OF MATHEMATICAL PHYSICS, 1979, 20 (06) :1183-1201

← 1 2 3 →