PERIODIC-SOLUTIONS OF HAMILTONIAN-SYSTEMS ON HYPERSURFACES IN A TORUS

被引：5

作者：

JIANG, MY

机构：

[1] Department of Mathematics, Peking University, Beijing

来源：

MANUSCRIPTA MATHEMATICA | 1994年 / 85卷 / 3-4期

关键词：

D O I：

10.1007/BF02568201

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence of periodic solutions to Hamiltonian systems on the symplectic manifold (T-2n,omega) is studied. We show that on a class of hypersurfaces in the torus T-2n there is a periodic solution, which generalizes the results due to Long and Zehnder.

引用

页码：307 / 321

页数：15

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[1] PERIODIC-SOLUTIONS TO HAMILTONIAN-SYSTEMS
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[J]. ASTERISQUE, 1983, (105-) : 105 - 128
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