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
[31]  
Remoissenet M., 1999, Waves Called Solitons
[32]   Interaction of self-organized quasiparticles in a two-dimensional reaction-diffusion system: The formation of molecules [J].
Schenk, CP ;
Schutz, P ;
Bode, M ;
Purwins, HG .
PHYSICAL REVIEW E, 1998, 57 (06) :6480-6486
[33]   Vortex induced rotation of clusters of localized states in the complex Ginzburg-Landau equation [J].
Skryabin, DV ;
Vladimirov, AG .
PHYSICAL REVIEW LETTERS, 2002, 89 (04) :1-044101
[34]   PATTERN-FORMATION AND WAVE NUMBER SELECTION BY RAYLEIGH-BENARD CONVECTION IN A CYLINDRICAL CONTAINER [J].
STEINBERG, V ;
AHLERS, G ;
CANNELL, DS .
PHYSICA SCRIPTA, 1985, 32 (05) :534-547
[35]  
TARANENKO VB, NLINPS0206029
[36]   Localized excitations in a vertically vibrated granular layer [J].
Umbanhowar, PB ;
Melo, F ;
Swinney, HL .
NATURE, 1996, 382 (6594) :793-796
[37]   Two-dimensional clusters of solitary structures in driven optical cavities [J].
Vladimirov, Andrei G. ;
McSloy, John M. ;
Skryabin, Dmitry V. ;
Firth, William J. .
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2002, 65 (04) :1-046606