A KAM Theorem for Reversible Systems of Infinite Dimension

被引：0

作者：

Shun Qing Chen

Xiao Ping Yuan*

机构：

[1] Daxian Normal College,Department of Mathematics

[2] Fudan University,School of Mathematical Sciences

[3] Ministry of Education,Key Lab of Mathematics for Nonlinear Science (Fudan University)

来源：

Acta Mathematica Sinica, English Series | 2007年 / 23卷

关键词：

KAM theorem; reversible system; weakly coupled oscillators; 37K55; 34C15; 34C27;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For reversible systems of infinite dimension we prove an infinitely dimensional KAM theorem with an application to the network of weakly coupled oscillators of friction. The KAM theorem shows that there are many invariant tori of infinite dimension, and thus many almost periodic solutions, for the reversible systems.

引用

页码：1777 / 1796

页数：19

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