Bifurcation from Discrete Rotating Waves

被引：0
|
作者：
Jeroen S. W. Lamb
Ian Melbourne
机构：
[1] Department of Mathematics,
[2] University of Houston,undefined
[3] Houston,undefined
[4] Texas 77204‐3476,undefined
[5] USA,undefined
来源：
Archive for Rational Mechanics and Analysis | 1999年 / 149卷
关键词：
Dynamical System; Periodic Solution; Group Action; Systematic Approach; Symmetry Group;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
. Discrete rotating waves are periodic solutions that have discrete spatiotemporal symmetries in addition to their purely spatial symmetries. We present a systematic approach to the study of local bifurcation from discrete rotating waves. The approach centers around the analysis of diffeomorphisms that are equivariant with respect to distinct group actions in the domain and the range. Our results are valid for dynamical systems with finite symmetry group, and more generally, for bifurcations from isolated discrete rotating waves in dynamical systems with compact symmetry group.
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页码：229 / 270
页数：41
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