Pattern selection in oscillatory media with global coupling

被引：19

作者：

Lima, D

Battogtokh, D

Mikhailov, A

Borckmans, P

Dewel, G

机构：

[1] Free Univ Brussels, Ctr Nonlinear Phenomena & Complex Syst, Brussels, Belgium

[2] Max Planck Gesell, Fritz Haber Inst, D-14195 Berlin, Germany

来源：

EUROPHYSICS LETTERS | 1998年 / 42卷 / 06期

关键词：

D O I：

10.1209/epl/i1998-00297-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Populations of oscillators that present both local and global coupling can exhibit diffusive instabilities leading to a rich variety of wave patterns. We investigate the selection of these structures near a supercritical Hopf bifurcation described by a modified complex Ginzburg-Landau equation.

引用

收藏

页码：631 / 636

页数：6

相关论文

共 11 条

[1] Controlling turbulence in the complex Ginzburg-Landau equation .2. Two-dimensional systems [J].

Battogtokh, D ;

Preusser, A ;

Mikhailov, A .

PHYSICA D, 1997, 106 (3-4) :327-362

[2] Controlling turbulence in the complex Ginzburg-Landau equation [J].

Battogtokh, D ;

Mikhailov, A .

PHYSICA D, 1996, 90 (1-2) :84-95

[3]

CROSS MC, 1993, REV MOD PHYS, V65, P854

[4] Spatiotemporal dynamics near a codimension-two point [J].

DeWit, A ;

Lima, D ;

Dewel, G ;

Borckmans, P .

PHYSICAL REVIEW E, 1996, 54 (01) :261-271

[5] PATTERN-FORMATION DURING THE CO OXIDATION ON PT(110) SURFACES UNDER GLOBAL COUPLING [J].

FALCKE, M ;

ENGEL, H .

JOURNAL OF CHEMICAL PHYSICS, 1994, 101 (07) :6255-6263

[6] CLUSTER FORMATION, STANDING WAVES, AND STRIPE PATTERNS IN OSCILLATORY ACTIVE MEDIA WITH LOCAL AND GLOBAL COUPLING [J].

FALCKE, M ;

ENGEL, H ;

NEUFELD, M .

PHYSICAL REVIEW E, 1995, 52 (01) :763-771

[7] DYNAMICS OF THE GLOBALLY COUPLED COMPLEX GINZBURG-LANDAU EQUATION [J].

HAKIM, V ;

RAPPEL, WJ .

PHYSICAL REVIEW A, 1992, 46 (12) :R7347-R7350

[8] Phase- and center-manifold reductions for large populations of coupled oscillators with application to non-locally coupled systems [J].

Kuramoto, Y .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1997, 7 (04) :789-805

[9] Chaotic spatially subharmonic oscillations [J].

Lima, D ;

DeWit, A ;

Dewel, G ;

Borckmans, P .

PHYSICAL REVIEW E, 1996, 53 (02) :R1305-R1308

[10]

PISMEN LM, 1986, DYNAM STABIL SYST, V1, P97