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5. On a theorem by Mather and Aubry-Mather sets for planar Hamiltonian systems

On a theorem by Mather and Aubry-Mather sets for planar Hamiltonian systems

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

【摘 要】

：

A result due to Mather on the existence of Aubry-Mather sets for superlinear positive definite Lagrangian systems is generalized in one-dimensional case. Applic

【作 者】

：

蒋美跃 

【机 构】

：

1.DepartmentofMathematics

【出 处】

：

中国科学：数学英文版

【发表日期】

：

1999年11期

【关键词】

：

Aubry-Mather SET PLANAR Hamiitonian system. Aubry-Mather set planar Hamiltonian 

【基金项目】

：

Project supported by the National Natural Science Foundation of China (Grant No. 19631020).

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A result due to Mather on the existence of Aubry-Mather sets for superlinear positive definite Lagrangian systems is generalized in one-dimensional case. Applications to existence of Aubry-Mather sets of planar Hamiltonian systems are given.

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