Stability ordering of cycle expansions

被引：30

作者：

Dettmann, CP

Morriss, GP

机构：

[1] School of Physics, University of New South Wales, Sydney

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 78卷 / 22期

关键词：

D O I：

10.1103/PhysRevLett.78.4201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose that cycle expansions be ordered with respect to stability rather than orbit length for many chaotic systems, particularly those exhibiting crises. This is illustrated with the strong-field Lorentz gas, where we obtain significant improvements over traditional approaches.

引用

页码：4201 / 4204

页数：4

共 20 条

[1]

[Anonymous], 1993, CHAOS DYNAMICAL SYST

[2] RECYCLING OF STRANGE SETS .1. CYCLE EXPANSIONS [J].

ARTUSO, R ;

AURELL, E ;

CVITANOVIC, P .

NONLINEARITY, 1990, 3 (02) :325-359

[3] RECYCLING OF STRANGE SETS .2. APPLICATIONS [J].

ARTUSO, R ;

AURELL, E ;

CVITANOVIC, P .

NONLINEARITY, 1990, 3 (02) :361-386

[4] STEADY-STATE ELECTRICAL-CONDUCTION IN THE PERIODIC LORENTZ GAS [J].

CHERNOV, NI ;

EYINK, GL ;

LEBOWITZ, JL ;

SINAI, YG .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 154 (03) :569-601

[5] PERIODIC-ORBIT QUANTIZATION OF CHAOTIC SYSTEMS [J].

CVITANOVIC, P ;

ECKHARDT, B .

PHYSICAL REVIEW LETTERS, 1989, 63 (08) :823-826

[6] INVARIANT MEASUREMENT OF STRANGE SETS IN TERMS OF CYCLES [J].

CVITANOVIC, P .

PHYSICAL REVIEW LETTERS, 1988, 61 (24) :2729-2732

[7] Investigation of the Lorentz gas in terms of periodic orbits [J].

Cvitanovic, Predrag ;

Gaspard, Pierre ;

Schreiber, Thomas .

CHAOS, 1992, 2 (01) :85-90

[8] PERIODIC ORBIT QUANTIZATION OF BOUND CHAOTIC SYSTEMS [J].

DAHLQVIST, P ;

RUSSBERG, G .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (20) :4763-4778

[9] DETERMINATION OF RESONANCE-SPECTRA FOR BOUND CHAOTIC SYSTEMS [J].

DAHLQVIST, P .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (03) :763-785

[10] Crisis in the periodic Lorentz gas [J].

Dettmann, CP ;

Morriss, GP .

PHYSICAL REVIEW E, 1996, 54 (05) :4782-4790

← 1 2 →