NONEQUILIBRIUM POTENTIALS FOR DYNAMIC-SYSTEMS WITH FRACTAL ATTRACTORS OR REPELLERS

被引：72

作者：

GRAHAM, R ^{[1
]}

HAMM, A ^{[1
]}

TEL, T ^{[1
]}

机构：

[1] INST FESTKORPERFORSCH KERNFORSCHUNGSANLAGE JULICH, FORSCHUNGSZENTRUM, W-5170 JULICH, GERMANY

来源：

PHYSICAL REVIEW LETTERS | 1991年 / 66卷 / 24期

关键词：

D O I：

10.1103/PhysRevLett.66.3089

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The concept of a nonequilibrium potential is applied to dynamical systems with fractal attractors or repellers. In particular, we study the case of the Feigenbaum attractor in one-dimensional maps and the case of hyperbolic strange attractors or repellers in two-dimensional maps. The potential-height distribution of the latter is shown to exhibit multifractal features; that of the Feigenbaum attractor is characterized by a single number, the universal exponent for noisy period-doubling bifurcations.

引用

页码：3089 / 3092

页数：4

共 26 条

[1]

[Anonymous], 1983, HDB STOCHASTIC METHO

[2]

[Anonymous], 1984, RANDOM PERTURBATIONS

[3] NOISE-INDUCED ESCAPE FROM ATTRACTORS IN ONE-DIMENSIONAL MAPS [J].

BEALE, PD .

PHYSICAL REVIEW A, 1989, 40 (07) :3998-4003

[4]

BLANK ML, 1989, SIAM THEOR PROB APPL, V33, P612

[5] SCALING FOR EXTERNAL NOISE AT THE ONSET OF CHAOS [J].

CRUTCHFIELD, J ;

NAUENBERG, M ;

RUDNICK, J .

PHYSICAL REVIEW LETTERS, 1981, 46 (14) :933-935

[6] TOPOLOGICAL AND METRIC PROPERTIES OF HENON-TYPE STRANGE ATTRACTORS [J].

CVITANOVIC, P ;

GUNARATNE, GH ;

PROCACCIA, I .

PHYSICAL REVIEW A, 1988, 38 (03) :1503-1520

[7]

Graham R, 1989, NOISE NON D, V1, P225

[8] SCALING LAWS FOR INVARIANT-MEASURES ON HYPERBOLIC AND NONHYPERBOLIC ATTRACTORS [J].

GRASSBERGER, P ;

BADII, R ;

POLITI, A .

JOURNAL OF STATISTICAL PHYSICS, 1988, 51 (1-2) :135-178

[9] NOISE-INDUCED ESCAPE FROM ATTRACTORS [J].

GRASSBERGER, P .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (16) :3283-3290

[10]

GRASSBERGER P, 1986, CHAOS

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