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5. Variational construction of unbounded orbits in Lagrangian systems

Variational construction of unbounded orbits in Lagrangian systems

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

【摘 要】

：

We show the existence of unbounded orbits in perturbations of generic geodesic flow in T2 by a generic periodic potential. Different from previous work such as

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2010年3期

【关键词】

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POSITIVE definite LAGRANGIAN VARIATIONAL method UNBOUNDED ORBIT positive definit 

【基金项目】

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supported by National Basic Research Program of China (Grant No.2007CB814800),National Natural Science Foundation of China (Grant No. 10531050),Basic Research Program of Jiangsu Province, China (Grant

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论文部分内容阅读

We show the existence of unbounded orbits in perturbations of generic geodesic flow in T2 by a generic periodic potential. Different from previous work such as in Mather (1997), the initial values of the orbits obtained here are not required sufficiently

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