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Gevrey-Smoothness of Elliptic Lower Dimensional Invariant Tori in Hamiltonian Systems

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Abstract

This paper studies Gevrey smoothness of elliptic lower dimensional invariant tori in Hamiltonian systems under partial Melnikov’s conditions and Rüssmann’s nondegeneracy condition.

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Author information

Authors and Affiliations

  1. Nanjing JinLing High School, Nanjing, 210005, China

    Bingfeng Wang

  2. Department of Mathematics, Southeast University, Nanjing, 210096, China

    Yanling Shi

  3. Department of Mathematics, Nanjing Tech University, Nanjing, 211800, China

    Shunjun Jiang

Authors
  1. Bingfeng Wang
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  2. Yanling Shi
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  3. Shunjun Jiang
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Corresponding author

Correspondence to Shunjun Jiang.

Additional information

The work was supported by the National Natural Science Foundation of China (Grant No. 11371090) and the Natural Science Foundation of Jiangsu Higher Education Institutions of China (14KJB110009).

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Wang, B., Shi, Y. & Jiang, S. Gevrey-Smoothness of Elliptic Lower Dimensional Invariant Tori in Hamiltonian Systems. Qual. Theory Dyn. Syst. 17, 345–366 (2018). https://doi.org/10.1007/s12346-017-0236-1

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  • DOI: https://doi.org/10.1007/s12346-017-0236-1

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