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Connecting orbits among Denjoy minimal sets for monotone twist map

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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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Authors and Affiliations

  1. Department of Mathematics, Nanjing University, 210093, Nanjing, China

    Wei Cheng & Chongqing Cheng

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  1. Wei Cheng
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  2. Chongqing Cheng
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Cheng, W., Cheng, C. Connecting orbits among Denjoy minimal sets for monotone twist map. Sci. China Ser. A-Math. 46, 159–168 (2003). https://doi.org/10.1360/03ys9017

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  • DOI: https://doi.org/10.1360/03ys9017

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