| Connecting orbits among Denjoy minimal sets for monotone twist map |
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| 作者姓名： | 程伟 程崇庆 |
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| 作者单位： | Department of Mathematics，Nanjing University，Department of Mathematics，Nanjing University Nanjing 210093，China，Nanjing 210093，China |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China (Grant No. 19525103). |
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| 摘 要： | In a Birkhoff region of instability for an exact area-preserving twist map, we construct some orbits connecting distinct Denjoy minimal sets. These sets correspond to the local, instead of global minimum of the Lagrangian action. In the earlier work, Mather constructed connecting orbits among Aubry-Mather sets and the global minimizer of the Lagrangian action.
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Connecting orbits among Denjoy minimal sets for monotone twist map |
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| Wei Cheng,Chongqing Cheng.Connecting orbits among Denjoy minimal sets for monotone twist map[J].Science in China(Mathematics),2003,46(2):159-168. |
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| Authors: | Wei Cheng Chongqing Cheng |
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| Institution: | Department of Mathematics, Nanjing University, Nanjing 210093, China |
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| Abstract: | In a Birkhoff region of instability for an exact area-preserving twist map, we construct some orbits connecting distinct Denjoy minimal sets. These sets correspond to the local, instead of global minimum of the Lagrangian action. In the earlier work, Mather constructed connecting orbits among Aubry-Mather sets and the global minimizer of the Lagrangian action. |
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| Keywords: | twist map Denjoy minimal sets connecting orbits |
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