DIRECTION-REVERSING TRAVELING WAVES

被引：46
作者：
LANDSBERG, AS
KNOBLOCH, E
机构：
[1] Department of Physics, University of California at Berkeley, Berkeley
来源：
PHYSICS LETTERS A | 1991年 / 159卷 / 1-2期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/0375-9601(91)90155-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A simple mechanism for generating traveling waves which reverse their direction of propagation in a periodic manner is presented. This mechanism is generic in systems possessing O(2) symmetry, and corresponds to a codimension-one symmetry-breaking Hopf bifurcation from a circle of nontrivial steady states.
引用
收藏
页码：17 / 20
页数：4
相关论文
共 14 条
  • [1] [Anonymous], 1988, SINGULARITIES GROUPS
  • [2] THE DYNAMICS OF TRIPLE CONVECTION
    ARNEODO, A
    COULLET, PH
    SPIEGEL, EA
    [J]. GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, 1985, 31 (1-2) : 1 - 48
  • [3] ASYMPTOTIC CHAOS
    ARNEODO, A
    COULLET, PH
    SPIEGEL, EA
    TRESSER, C
    [J]. PHYSICA D, 1985, 14 (03): : 327 - 347
  • [4] Bluman G. W., 1989, SYMMETRIES DIFFERENT
  • [5] SYMMETRY AND SYMMETRY-BREAKING BIFURCATIONS IN FLUID-DYNAMICS
    CRAWFORD, JD
    KNOBLOCH, E
    [J]. ANNUAL REVIEW OF FLUID MECHANICS, 1991, 23 : 341 - 387
  • [6] THE TAKENS BOGDANOV BIFURCATION WITH O(2)-SYMMETRY
    DANGELMAYR, G
    KNOBLOCH, E
    [J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1987, 322 (1565): : 243 - 279
  • [7] CODIMENSION-2 BIFURCATIONS AND INTERACTIONS BETWEEN DIFFERENTLY POLARIZED FIELDS FOR THE LASER WITH SATURABLE ABSORBER
    DANGELMAYR, G
    NEVELING, M
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (09): : 1291 - 1301
  • [8] DANGELMAYR G, 1990, NATO ASI SERIES B, V225
  • [9] THE STEADY-STATES OF THE KURAMOTO-SIVASHINSKY EQUATION
    GREENE, JM
    KIM, JS
    [J]. PHYSICA D, 1988, 33 (1-3): : 99 - 120
  • [10] TRAVELING-WAVE CONVECTION IN A ROTATING LAYER
    KNOBLOCH, E
    SILBER, M
    [J]. GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, 1990, 51 (1-4) : 195 - 209
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