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Invariant hyperbolic tori for Hamiltonian systems with degeneracy

โœ Scribed by Li, Yong; Cong, Fuzhong


Book ID
125856505
Publisher
American Institute of Mathematical Sciences
Year
1997
Tongue
English
Weight
194 KB
Volume
3
Category
Article
ISSN
1078-0947

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We consider Gevrey-smooth perturbation of a completely integrable Gevrey-smooth Hamiltonian under Rรผssmann'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