RESONANT TRIAD INTERACTIONS IN SYMMETRICAL SYSTEMS

被引：18

作者：

GUCKENHEIMER, J

MAHALOV, A

机构：

[1] Cornell University, Ithaca, NY

来源：

PHYSICA D | 1992年 / 54卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0167-2789(92)90040-T

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyse resonant triad interactions in symmetric systems. The case of coupling at quadratic order in amplitudes and the case of coupling at cubic order are considered. We study modulated travelling waves and heteroclinic cycles in amplitude equations and we discuss their stability types. We describe possible dynamical regimes and spatial patterns arising from triad interactions of long waves in rapidly rotating Hagen-Poiseuille flow.

引用

页码：267 / 310

页数：44

共 26 条

[1] HETEROCLINIC CYCLES AND MODULATED TRAVELING WAVES IN SYSTEMS WITH O(2) SYMMETRY [J].