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

Xiaocai Wang; Junxiang Xu

doi:10.3934/dcds.2009.25.701

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2009, Volume 25, Issue 2: 701-718. Doi: 10.3934/dcds.2009.25.701

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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

Received: June 30, 2008

Revised: December 31, 2008

Published: May 2009

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Abstract

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.

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Mathematics Subject Classification: Primary: 37J40; Secondary: 37E99, 47A55, 37F50.

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