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Invariant hyperbolic tori for Gevrey-smooth Hamiltonian systems under Rüssmann’s non-degeneracy condition

✍ Scribed by Dong Feng Zhang; Jun Xiang Xu


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2008
Tongue
English
Weight
272 KB
Volume
24
Category
Article
ISSN
1439-7617

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Invariant tori for Gevrey-smooth Hamilto
✍ Dongfeng Zhang; Junxiang Xu 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 340 KB

We consider Gevrey-smooth perturbation of a completely integrable Gevrey-smooth Hamiltonian under Rüssmann's nondegeneracy condition, and obtain a family of invariant tori using an improved KAM iteration; they are Gevrey smooth in the sense of Whitney, with a Gevrey index depending on the Gevrey cla