2-DIMENSIONAL LOCALIZED SOLUTIONS FOR SUBCRITICAL BIFURCATIONS IN SYSTEMS WITH BROKEN ROTATIONAL SYMMETRY

被引:20
作者
DEISSLER, RJ [1 ]
BRAND, HR [1 ]
机构
[1] UNIV BAYREUTH,D-95440 BAYREUTH,GERMANY
来源
PHYSICAL REVIEW E | 1995年 / 51卷 / 02期
关键词
D O I
10.1103/PhysRevE.51.R852
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We study spatially localized two-dimensional solutions and their interactions for coupled two-dimensional (2D) equations applicable near a weakly inverted bifurcation for isotropic systems with broken rotational symmetry. Even though the linear operator is substantially different from that for the equations for anisotropic media studied previously, stable localized 2D solutions nevertheless exist. In contrast to the 2D localized solutions for anisotropic media, these solutions have a more complex shape and their interactions show a number of interesting features. © 1995 The American Physical Society.
引用
收藏
页码:R852 / R855
页数:4
相关论文
共 27 条
[1]  
BRAND H, UNPUB
[2]   INTERACTION OF LOCALIZED SOLUTIONS FOR SUBCRITICAL BIFURCATIONS [J].
BRAND, HR ;
DEISSLER, RJ .
PHYSICAL REVIEW LETTERS, 1989, 63 (26) :2801-2804
[3]   STABLE LOCALIZED SOLUTIONS IN NONLINEAR OPTICS WITH LARGE DISSIPATION [J].
BRAND, HR ;
DEISSLER, RJ .
PHYSICA A, 1994, 204 (1-4) :87-95
[4]   BENJAMIN-FEIR TURBULENCE IN CONVECTIVE BINARY FLUID MIXTURES [J].
BRAND, HR ;
LOMDAHL, PS ;
NEWELL, AC .
PHYSICA D, 1986, 23 (1-3) :345-361
[5]   EVOLUTION OF THE ORDER PARAMETER IN SITUATIONS WITH BROKEN ROTATIONAL SYMMETRY [J].
BRAND, HR ;
LOMDAHL, PS ;
NEWELL, AC .
PHYSICS LETTERS A, 1986, 118 (02) :67-73
[6]  
BRAND HR, IN PRESS P NONLINEAR
[7]   A FLOW-VISUALIZATION STUDY OF TRANSITION IN PLANE POISEUILLE FLOW [J].
CARLSON, DR ;
WIDNALL, SE ;
PEETERS, MF .
JOURNAL OF FLUID MECHANICS, 1982, 121 (AUG) :487-505
[8]   TURBULENT BURSTS, SPOTS AND SLUGS IN A GENERALIZED GINZBURG-LANDAU EQUATION [J].
DEISSLER, RJ .
PHYSICS LETTERS A, 1987, 120 (07) :334-340
[9]   THE EFFECT OF NONLINEAR GRADIENT TERMS ON LOCALIZED STATES NEAR A WEAKLY INVERTED BIFURCATION [J].
DEISSLER, RJ ;
BRAND, HR .
PHYSICS LETTERS A, 1990, 146 (05) :252-255
[10]   PERIODIC, QUASI-PERIODIC, AND CHAOTIC LOCALIZED SOLUTIONS OF THE QUINTIC COMPLEX GINZBURG-LANDAU EQUATION [J].
DEISSLER, RJ ;
BRAND, HR .
PHYSICAL REVIEW LETTERS, 1994, 72 (04) :478-481