Pattern formation in nonlocally coupled oscillators

被引：8

作者：

Battogtokh, D ^{[1
]}

机构：

[1] Kyoto Univ, Grad Sch Sci, Dept Phys, Kyoto 6068502, Japan

[2] Louisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70803 USA

来源：

PROGRESS OF THEORETICAL PHYSICS | 1999年 / 102卷 / 05期

关键词：

D O I：

10.1143/PTP.102.947

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A Turing-Hopf mixed mode solution is found in Kuramoto's reaction-diffusion model, (3)) which can be considered a nonlocally coupled system. Analytic and numerical analysis shows that the nonlocally coupled complex Ginzburg-Landau equation possesses the mixed mode solution.

引用

页码：947 / 952

页数：6

共 14 条

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

Battogtokh, D ;

Mikhailov, A .

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

[2] PATTERN-FORMATION OUTSIDE OF EQUILIBRIUM [J].

CROSS, MC ;

HOHENBERG, PC .

REVIEWS OF MODERN PHYSICS, 1993, 65 (03) :851-1112

[3]

DEWIT A, 1994, PHYS REV E, V48, P5207

[4]

DEWIT A, 1996, PHYS REV E49, V54, pR261

[5] Power-law spatial correlations and the onset of individual motions in self-oscillatory media with non-local coupling [J].

Kuramoto, Y ;

Nakao, H .

PHYSICA D-NONLINEAR PHENOMENA, 1997, 103 (1-4) :294-313

[6] Multiaffine chemical turbulence [J].

Kuramoto, Y ;

Battogtokh, D ;

Nakao, H .

PHYSICAL REVIEW LETTERS, 1998, 81 (16) :3543-3546

[7] Origin of power-law spatial correlations in distributed oscillators and maps with nonlocal coupling [J].

Kuramoto, Y ;

Nakao, H .

PHYSICAL REVIEW LETTERS, 1996, 76 (23) :4352-4355

[8] SCALING BEHAVIOR OF TURBULENT OSCILLATORS WITH NONLOCAL INTERACTION [J].

KURAMOTO, Y .

PROGRESS OF THEORETICAL PHYSICS, 1995, 94 (03) :321-330

[9]

KURAMOTO Y, 1984, CHEM OSCULLATIONS WA

[10] Pattern selection in oscillatory media with global coupling [J].

Lima, D ;

Battogtokh, D ;

Mikhailov, A ;

Borckmans, P ;

Dewel, G .

EUROPHYSICS LETTERS, 1998, 42 (06) :631-636

← 1 2 →