| A KAM Theorem for Reversible Systems of Infinite Dimension |
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| 引用本文： | Shun Qing CHEN Xiao Ping YUAN. A KAM Theorem for Reversible Systems of Infinite Dimension[J]. 数学学报(英文版), 2007, 23(10): 1777-1796. DOI: 10.1007/s10114-005-0887-8 |
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| 作者姓名： | Shun Qing CHEN Xiao Ping YUAN |
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| 作者单位： | [1]Department of Mathematics, Daxian Normal College, Dazhou 635000, P. R. China [2]School of Mathematical Sciences, Fudan University, Shanghai 200433, P. R. China [3]Key Lab of Mathematics for Nonlinear Science （Fudan University）, Ministry of Education, Shanghai 200433, P. R. China |
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| 基金项目： | Supported by NNSFC and NCET-04-0365, and in part by STCSM-06ZR14014 |
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| 摘 要： |
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| 关 键 词： | KAM定理 可逆系统 弱振荡器 空间理论 |
| 收稿时间： | 2005-02-22 |
| 修稿时间： | 2005-02-22 |
A KAM Theorem for Reversible Systems of Infinite Dimension |
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| Shun?Qing?Chen,Xiao?Ping?Yuan. A KAM Theorem for Reversible Systems of Infinite Dimension[J]. Acta Mathematica Sinica(English Series), 2007, 23(10): 1777-1796. DOI: 10.1007/s10114-005-0887-8 |
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| Authors: | Shun?Qing?Chen Xiao?Ping?Yuan |
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| Affiliation: | (1) Department of Mathematics, Daxian Normal College, Dazhou, 635000, P. R. China;(2) School of Mathematical Sciences, Fudan University, Shanghai, 200433, P. R. China;(3) Key Lab of Mathematics for Nonlinear Science (Fudan University), Ministry of Education, Shanghai, 200433, P. R. China |
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| Abstract: | 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. |
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| Keywords: | KAM theorem reversible system weakly coupled oscillators |
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