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

• Wang, Bingfeng ^[2] ; Shi, Yanling ^[1] ; Jiang, Shunjun ^[3]
  1. [1] Southeast University

     Southeast University

     China

     
  2. [2] Nanjing JinLing High School
  3. [3] Nanjing Tech University

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 17, Nº 2, 2018, págs. 345-366
• Idioma: inglés
• DOI: 10.1007/s12346-017-0236-1
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• Resumen

  • 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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