Mechanism for the riddling transition in coupled chaotic systems

被引：12

作者：

Kim, SY ^{[1
]}

Lim, W ^{[1
]}

机构：

[1] Kangwon Natl Univ, Dept Phys, Chunchon 200701, Kangwon Do, South Korea

来源：

PHYSICAL REVIEW E | 2001年 / 63卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.63.026217

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 the loss of chaos synchronization in coupled chaotic systems without symmetry from the point of view of bifurcations of unstable periodic orbits embedded in the synchronous chaotic attractor (SCA). A mechanism for direct transition to global riddling through a transcritical contact bifurcation between a periodic saddle embedded in the SCA and a repeller on the boundary of its basin of attraction is thus found. Note that this bifurcation mechanism is different from that in coupled chaotic systems with symmetry. After such a riddling transition, the basin becomes globally riddled with a dense set of repelling tongues leading to divergent orbits. This riddled basin is also characterized by divergence and uncertainty exponents, and thus typical power-law scaling is found.

引用

页数：7

共 35 条

[21] Desynchronization of chaos in coupled logistic maps [J].

Maistrenko, YL ;

Maistrenko, VL ;

Popovych, O ;

Mosekilde, E .

PHYSICAL REVIEW E, 1999, 60 (03) :2817-2830

[22] Role of the absorbing area in chaotic synchronization [J].

Maistrenko, YL ;

Maistrenko, VL ;

Popovich, A ;

Mosekilde, E .

PHYSICAL REVIEW LETTERS, 1998, 80 (08) :1638-1641

[23] Transverse instability and riddled basins in a system of two coupled logistic maps [J].

Maistrenko, YL ;

Maistrenko, VL ;

Popovich, A ;

Mosekilde, E .

PHYSICAL REVIEW E, 1998, 57 (03) :2713-2724

[24] ON THE CONCEPT OF ATTRACTOR [J].

MILNOR, J .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1985, 99 (02) :177-195

[25]

Mira C., 1996, Nonlinear Science, DOI DOI 10.1142/2252

[26] SCALING BEHAVIOR OF CHAOTIC SYSTEMS WITH RIDDLED BASINS [J].

OTT, E ;

SOMMERER, JC ;

ALEXANDER, JC ;

KAN, I ;

YORKE, JA .

PHYSICAL REVIEW LETTERS, 1993, 71 (25) :4134-4137

[27] THE TRANSITION TO CHAOTIC ATTRACTORS WITH RIDDLED BASINS [J].

OTT, E ;

ALEXANDER, JC ;

KAN, I ;

SOMMERER, JC ;

YORKE, JA .

PHYSICA D, 1994, 76 (04) :384-410

[28] BLOWOUT BIFURCATIONS - THE OCCURRENCE OF RIDDLED BASINS AND ON OFF INTERMITTENCY [J].

OTT, E ;

SOMMERER, JC .

PHYSICS LETTERS A, 1994, 188 (01) :39-47

[29] SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].

PECORA, LM ;

CARROLL, TL .

PHYSICAL REVIEW LETTERS, 1990, 64 (08) :821-824

[30] ON THE INTERACTION OF STRANGE ATTRACTORS [J].

PIKOVSKY, AS .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1984, 55 (02) :149-154

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