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A KAM Theorem for Reversible Systems of Infinite Dimension

A KAM Theorem for Reversible Systems of Infinite Dimension
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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. 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.
作者 Shun Qing CHEN Xiao Ping YUAN
机构地区 Department of Mathematics School of Mathematical Sciences Key Lab of Mathematics for Nonlinear Science (Fudan University)
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第10期1777-1796,共20页 数学学报（英文版）
基金 Supported by NNSFC and NCET-04-0365 in part by STCSM-06ZR14014
关键词 KAM theorem reversible system weakly coupled oscillators KAM theorem, reversible system, weakly coupled oscillators
分类号 O1 [理学—基础数学]
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参考文献26

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Acta Mathematica Sinica,English Series
2007年 第10期

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