Construction of Quasi-Periodic Breathers¶via KAM Technique

被引：0

作者：

Xiaoping Yuan

机构：

[1] Department of Mathematics and Laboratory of Mathematics for Nonlinear Science,

[2] Fuda University,undefined

[3] ¶Shanghai 200433,undefined

[4] P.R. China. E-mail: yuanxiaoping@hotmail.com,undefined

[5] xpyuan@fudan.edu,undefined

[6] CMAF Universidade de Lisboa,undefined

[7] Av. Prof. Gama Pinto 2,undefined

[8] 1649-003 Lisbon,undefined

[9] Portugal,undefined

来源：

Communications in Mathematical Physics | 2002年 / 226卷

关键词：

Open Problem; Continuous Spectrum; Normal Frequency;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

By developing a KAM theorem which involves an infinitely multiple normal frequency, it is shown that there are plenty of breathers, quasi-periodic in time and super-exponentially localized in space, for the networks of weakly coupled oscillators. This answers an open problem by Aubry [A2] in case the linearized system has no continuous spectrum.

引用

页码：61 / 100

页数：39