Wave-unlocking transition in resonantly coupled complex Ginzburg-Landau equations

被引：12

作者：

Amengual, A ^{[1
]}

Walgraef, D ^{[1
]}

SanMiguel, M ^{[1
]}

HernandezGarcia, E ^{[1
]}

机构：

[1] UNIV ILLES BALEARS,CSIC,IMEDEA,E-07071 PALMA DE MALLORCA,SPAIN

来源：

PHYSICAL REVIEW LETTERS | 1996年 / 76卷 / 11期

关键词：

D O I：

10.1103/PhysRevLett.76.1956

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the effect of spatial frequency forcing on standing-wave solutions of coupled complex Ginzburg-Landau equations. The model considered describes several situations of nonlinear counterpropagating waves and also of the dynamics of polarized light waves. We show that forcing introduces spatial modulations on standing waves which remain frequency locked with a forcing-independent frequency. For forcing above a threshold the modulated standing waves unlock, bifurcating into a temporally periodic state. Below the threshold the system presents a kind of excitability.

引用

页码：1956 / 1959

页数：4

共 18 条

[1]

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

[2] HOPF-BIFURCATION WITH BROKEN CIRCULAR SYMMETRY [J].

DANGELMAYR, G ;

KNOBLOCH, E .

NONLINEARITY, 1991, 4 (02) :399-427

[3] SPATIOTEMPORAL DYNAMICS OF LASERS IN THE PRESENCE OF AN IMPERFECT O(2) SYMMETRY [J].

DANGELO, EJ ;

IZAGUIRRE, E ;

MINDLIN, GB ;

HUYET, G ;

GIL, L ;

TREDICCE, JR .

PHYSICAL REVIEW LETTERS, 1992, 68 (25) :3702-3705

[4] OSCILLATORY PHASE MODULATION OF PARAMETRICALLY FORCED SURFACE-WAVES [J].

DOUADY, S ;

FAUVE, S ;

THUAL, O .

EUROPHYSICS LETTERS, 1989, 10 (04) :309-315

[5] DYNAMICS OF A RING-LASER GYROSCOPE WITH BACKSCATTERING [J].

ETRICH, C ;

MANDEL, P ;

NEELEN, RC ;

SPREEUW, RJC ;

WOERDMAN, JP .

PHYSICAL REVIEW A, 1992, 46 (01) :525-536

[6]

Flytzani-Stephanopoulos M., 1980, THEORY OSCILLATORS, V64, P346

[7]

KAI S, 1992, PHYSICS PATTERN FORM

[8] DRIFT, SHAPE, AND INTRINSIC DESTABILIZATION OF PULSES OF TRAVELING-WAVE CONVECTION [J].

KOLODNER, P .

PHYSICAL REVIEW A, 1991, 44 (10) :6448-6465

[9] DRIFTING PULSES OF TRAVELING-WAVE CONVECTION [J].

KOLODNER, P .

PHYSICAL REVIEW LETTERS, 1991, 66 (09) :1165-1168

[10] SOLITONS AND THE COMMENSURATE-INCOMMENSURATE TRANSITION IN A CONVECTING NEMATIC FLUID [J].

LOWE, M ;

GOLLUB, JP .

PHYSICAL REVIEW A, 1985, 31 (06) :3893-3897

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