Riddled-like basins of transient chaos

被引：32

作者：

Woltering, M ^{[1
]}

Markus, M ^{[1
]}

机构：

[1] Max Planck Inst Mol Physiol, D-44202 Dortmund, Germany

来源：

PHYSICAL REVIEW LETTERS | 2000年 / 84卷 / 04期

关键词：

D O I：

10.1103/PhysRevLett.84.630

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The set of initial conditions leading to transient chaos in the neighborhood of a crisis is shown to display riddled-like behavior for finite, arbitrarily small accuracy. Calculations are performed with the logistic equation, as well as with an experimentally verifiable, quantitative description of a chemical reaction. Limitations in computational or experimental accuracy make the apparent riddling of initial conditions a phenomenon that is indistinguishable fr om riddled basins.

引用

页码：630 / 633

页数：4

共 29 条

[1] RIDDLED BASINS [J].

Alexander, J. C. ;

Yorke, James A. ;

You, Zhiping ;

Kan, I. .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1992, 2 (04) :795-813

[2]

[Anonymous], 1985, Oscillations and Travelling Waves in Chemical Systems

[3] BUBBLING OF ATTRACTORS AND SYNCHRONIZATION OF CHAOTIC OSCILLATORS [J].

ASHWIN, P ;

BUESCU, J ;

STEWART, I .

PHYSICS LETTERS A, 1994, 193 (02) :126-139

[4] Loss of chaos synchronization through the sequence of bifurcations of saddle periodic orbits [J].

Astakhov, V ;

Shabunin, A ;

Kapitaniak, T ;

Anishchenko, V .

PHYSICAL REVIEW LETTERS, 1997, 79 (06) :1014-1017

[5] ARE ATTRACTORS RELEVANT TO TURBULENCE [J].

CRUTCHFIELD, JP ;

KANEKO, K .

PHYSICAL REVIEW LETTERS, 1988, 60 (26) :2715-2718

[6] FRACTAL BASIN BOUNDARIES, LONG-LIVED CHAOTIC TRANSIENTS, AND UNSTABLE-UNSTABLE PAIR BIFURCATION [J].

GREBOGI, C ;

OTT, E ;

YORKE, JA .

PHYSICAL REVIEW LETTERS, 1983, 50 (13) :935-938

[7] CHAOTIC ATTRACTORS IN CRISIS [J].

GREBOGI, C ;

OTT, E ;

YORKE, JA .

PHYSICAL REVIEW LETTERS, 1982, 48 (22) :1507-1510

[8] CRISES, SUDDEN CHANGES IN CHAOTIC ATTRACTORS, AND TRANSIENT CHAOS [J].

GREBOGI, C ;

OTT, E ;

YORKE, JA .

PHYSICA D, 1983, 7 (1-3) :181-200

[9] CRITICAL EXPONENTS FOR CRISIS-INDUCED INTERMITTENCY [J].

GREBOGI, C ;

OTT, E ;

ROMEIRAS, F ;

YORKE, JA .

PHYSICAL REVIEW A, 1987, 36 (11) :5365-5380

[10] SIMPLE-MODELS OF DETERMINISTIC CHAOS IN THE BELOUSOV-ZHABOTINSKY REACTION [J].

GYORGYI, L ;

FIELD, RJ .

JOURNAL OF PHYSICAL CHEMISTRY, 1991, 95 (17) :6594-6602

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