title: Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings.
abstract: This paper provides a normal form for a class of lower dimensional hyperbolic invariant tori of nearly integrable symplectic mappings with generating functions. We prove the persistence and the Gevrey-smoothness of the invariant tori under some conditions.
authors.affiliation: College of Sciences, Nanjing Tech University, Nanjing, 210009 China.
authors.forename: Shunjun
authors.initials: S
authors.lastname: Jiang
keywords: Gevrey-smoothness; KAM iteration; normal form; symplectic mappings