On invariant sets in Lagrangian graphs

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：zhanchuangye

【摘要】

：

In this exposition, we show that the Hamiltonian is always constant on a compact invariant connected subset which lies in a Lagrangian graph provided that the H

【出处】

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中国科学：数学英文版

【发表日期】

：

2010年12期

【关键词】

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LAGRANGIAN GRAPH INVARIANT SET CRITICAL value Lagrangian graphinvariant setcriti

【基金项目】

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supported by National Natural Science Foundation of China (Grant No. 10801071),research fellowship for postdoctoral researchers from Alexander von Humboldt Foundation

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In this exposition, we show that the Hamiltonian is always constant on a compact invariant connected subset which lies in a Lagrangian graph provided that the Hamiltonian and the graph are sufficiently smooth. We also provide some counterexamples to show

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On invariant sets in Lagrangian graphs

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