DYNAMICS OF TRAVELING WAVES IN FINITE CONTAINERS

被引:33
作者
DANGELMAYER, G [1 ]
KNOBLOCH, E [1 ]
WEGELIN, M [1 ]
机构
[1] UNIV CALIF BERKELEY,DEPT PHYS,BERKELEY,CA 94720
来源
EUROPHYSICS LETTERS | 1991年 / 16卷 / 08期
关键词
HYDRODYNAMIC STABILITY AND INSTABILITY; CONVECTION AND HEAT TRANSFER; THEORY AND MODELS OF CHAOTIC SYSTEMS;
D O I
10.1209/0295-5075/16/8/004
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A multiscale expansion is used to show that distant sidewalls can cause a travelling wave to reverse periodically its direction of propagation. These reversing states are two-frequency waves and appear via a secondary Hopf bifurcation from a pattern of counterpropagating waves. With increasing Rayleigh number the reversal period diverges and the reversals may become chaotic, before a hysteretic transition to nonreversing waves takes place. The predictions are in qualitative agreement with existing experiments.
引用
收藏
页码:723 / 729
页数:7
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