Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings

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.

Bibliographic Details
Main Author: Shunjun Jiang
Format: Article
Language:English
Published: SpringerOpen 2017-02-01
Series:Journal of Inequalities and Applications
Subjects:
symplectic mappings
KAM iteration
Gevrey-smoothness
normal form
Online Access:http://link.springer.com/article/10.1186/s13660-017-1307-1

Internet

http://link.springer.com/article/10.1186/s13660-017-1307-1

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