Stable chaotic waves generated by hyperbolic PDEs

被引：4

作者：

Babin, AV ^{[1
]}

Bunimovich, LA ^{[1
]}

机构：

[1] GEORGIA INST TECHNOL,ATLANTA,GA 30332

来源：

NONLINEARITY | 1996年 / 9卷 / 04期

关键词：

D O I：

10.1088/0951-7715/9/4/002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study nonlinear wave equations. For some classes of potentials we prove the property of homotopy stability of these equations. This property allows us to construct an infinite collection of families of solutions characterized by complex spatial patterns that are preserved in the course of the dynamics. These classes correspond to elements of a fundamental group generated by a potential.

引用

页码：853 / 875

页数：23