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July  2009, 25(2): 701-718. doi: 10.3934/dcds.2009.25.701

Gevrey-smoothness of invariant tori for analytic reversible systems under Rüssmann's non-degeneracy condition

Xiaocai Wang 1, and  Junxiang Xu 1,

1. 

Department of Mathematics, Southeast University, Nanjing 211189, China

Received  July 2008 Revised  January 2009 Published  June 2009

In this paper we prove Gevrey smoothness of the persisting invariant tori for small perturbations of analytic linear reversible systems with Rüssmann's non-degeneracy condition by an improved KAM iteration method with parameters.
Keywords: KAM iteration, Gevrey smoothness, reversible systems, non-degeneracy condition..
Mathematics Subject Classification: Primary: 37J40; Secondary: 37E99, 47A55, 37F5.
Citation: Xiaocai Wang, Junxiang Xu. Gevrey-smoothness of invariant tori for analytic reversible systems under Rüssmann's non-degeneracy condition. Discrete & Continuous Dynamical Systems, 2009, 25 (2) : 701-718. doi: 10.3934/dcds.2009.25.701
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