Cycle expansions for intermittent diffusion

被引：15

作者：

Dettmann, CP ^{[1
]}

Cvitanovic, P

机构：

[1] Northwestern Univ, Dept Phys & Astron, Evanston, IL 60208 USA

[2] Niels Bohr Inst, Ctr Chaos & Turbulence Studies, DK-2100 Copenhagen O, Denmark

来源：

PHYSICAL REVIEW E | 1997年 / 56卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.56.6687

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We investigate intermittent diffusion using cycle expansions and show that a truncation based on cycle stability achieves reasonable convergence, without using detailed information about the analytic structure of the zeta function.

引用

页码：6687 / 6692

页数：6

共 35 条

[1]

Arnold VI., 1989, MATH METHODS CLASSIC, P520, DOI 10.1007/978-1-4757-1693-1

[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] DIFFUSIVE DYNAMICS AND PERIODIC-ORBITS OF DYNAMIC-SYSTEMS [J].

ARTUSO, R .

PHYSICS LETTERS A, 1991, 160 (06) :528-530

[5] PHASE-TRANSITIONS ON STRANGE IRRATIONAL SETS [J].

ARTUSO, R ;

CVITANOVIC, P ;

KENNY, BG .

PHYSICAL REVIEW A, 1989, 39 (01) :268-281

[6] PERIODIC ORBIT THEORY OF ANOMALOUS DIFFUSION [J].

ARTUSO, R ;

CASATI, G ;

LOMBARDI, R .

PHYSICAL REVIEW LETTERS, 1993, 71 (01) :62-64

[7] EXPLORING CHAOTIC MOTION THROUGH PERIODIC-ORBITS [J].

AUERBACH, D ;

CVITANOVIC, P ;

ECKMANN, JP ;

GUNARATNE, G ;

PROCACCIA, I .

PHYSICAL REVIEW LETTERS, 1987, 58 (23) :2387-2389

[8] A PROOF OF KOLMOGOROV THEOREM ON INVARIANT TORI USING CANONICAL-TRANSFORMATIONS DEFINED BY THE LIE METHOD [J].

BENETTIN, G ;

GALGANI, L ;

GIORGILLI, A ;

STRELCYN, JM .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1984, 79 (02) :201-223

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

CVITANOVIC, P ;

ECKHARDT, B .

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

[10] TRANSPORT-PROPERTIES OF THE LORENTZ GAS IN TERMS OF PERIODIC-ORBITS [J].

CVITANOVIC, P ;

ECKMANN, JP ;

GASPARD, P .

CHAOS SOLITONS & FRACTALS, 1995, 6 :113-120

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