Rotational bifurcation of localized dissipative structures

被引：19

作者：

Moskalenko, AS ^{[1
]}

Liehr, AW ^{[1
]}

Purwins, HG ^{[1
]}

机构：

[1] Inst Angew Phys, D-48149 Munster, Germany

来源：

EUROPHYSICS LETTERS | 2003年 / 63卷 / 03期

关键词：

D O I：

10.1209/epl/i2003-00532-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A topic of great interest for pattern-forming systems is the possibility of a spontaneous change in symmetry and dynamics as one slowly varies an external parameter. In this letter, we identify that a stationary localized structure without rotational symmetry, such as a pair of bound dissipative solitons, can spontaneously begin to rotate. The underlying mechanism is similar to the widely studied mechanism of the drift bifurcation in which structures begin to drift at constant velocity. We find a particular example of this new bifurcation for a 3-component reaction-diffusion system in 2 dimensions, and show that it can precede the drift bifurcation.

引用

收藏

页码：361 / 367

页数：7

相关论文

共 37 条

[1] Optical pattern formation in alkali metal vapors: Mechanisms, phenomena and use [J].

Ackemann, T ;

Lange, T .

APPLIED PHYSICS B-LASERS AND OPTICS, 2001, 72 (01) :21-34

[2] SPATIOTEMPORAL PATTERN-FORMATION IN A LATERAL HIGH-FREQUENCY GLOW-DISCHARGE SYSTEM [J].

AMMELT, E ;

SCHWENG, D ;

PURWINS, HG .

PHYSICS LETTERS A, 1993, 179 (4-5) :348-354

[3] Interaction of vortices in a complex vector field and stability of a "vortex molecule" [J].

Aranson, IS ;

Pismen, LM .

PHYSICAL REVIEW LETTERS, 2000, 84 (04) :634-637

[4] Formation of clusters of localized states in a gas discharge system via a self-completion scenario [J].

Astrov, YA ;

Logvin, YA .

PHYSICAL REVIEW LETTERS, 1997, 79 (16) :2983-2986

[5] Plasma spots in a gas discharge system: birth, scattering and formation of molecules [J].

Astrov, YA ;

Purwins, HG .

PHYSICS LETTERS A, 2001, 283 (5-6) :349-354

[6] PATTERN-FORMATION IN REACTION-DIFFUSION SYSTEMS - DISSIPATIVE SOLITONS IN PHYSICAL SYSTEMS [J].

BODE, M ;

PURWINS, HG .

PHYSICA D, 1995, 86 (1-2) :53-63

[7] Interaction of dissipative solitons: particle-like behaviour of localized structures in a three-component reaction-diffusion system [J].

Bode, M ;

Liehr, AW ;

Schenk, CP ;

Purwins, HG .

PHYSICA D-NONLINEAR PHENOMENA, 2002, 161 (1-2) :45-66

[8]

BODEKER HU, IN PRESS PHYS REV E

[9] DISSIPATIVE SOLITONS [J].

CHRISTOV, CI ;

VELARDE, MG .

PHYSICA D-NONLINEAR PHENOMENA, 1995, 86 (1-2) :323-347

[10] INSTABILITIES OF ONE-DIMENSIONAL CELLULAR-PATTERNS [J].

COULLET, P ;

IOOSS, G .

PHYSICAL REVIEW LETTERS, 1990, 64 (08) :866-869

← 1 2 3 4 →