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

作　　者：蒋美跃 

出　　处：《Science China Mathematics》1999年第11期1121-1128,共8页中国科学：数学（英文版）

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

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. Applications to existence of Aubry-Mather sets of planar Hamiltonian systems are given.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.

关 键 词：Aubry-Mather set planar Hamiltonian system 

分 类 号：O316[理学—一般力学与力学基础]