4.5 Article

GEVREY-SMOOTHNESS OF INVARIANT TORI FOR ANALYTIC REVERSIBLE SYSTEMS UNDER RUSSMANN'S NON-DEGENERACY CONDITION

期刊

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
卷 25, 期 2, 页码 701-718

出版社

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcds.2009.25.701

关键词

Gevrey smoothness; reversible systems; KAM iteration; non-degeneracy condition

资金

  1. Scientific Research Foundation of Graduate School of Southeast University
  2. Natural Science Foundation of China [10571027]

向作者/读者索取更多资源

In this paper we prove Gevrey smoothness of the persisting invariant tori for small perturbations of analytic linear reversible systems with Russmann's non-degeneracy condition by an improved KAM iteration method with parameters.

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