A KAM Theorem for a Class of Nearly Integrable Symplectic Mappings
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DOI: 10.1007/s10884-015-9427-0
Abstract: This paper considers a class of nearly integrable twist symplectic mappings with generating functions and proves the persistence of lower dimensional elliptic invariant tori under Rüssmann’s non-degeneracy conditions. read more here.
Keywords: kam theorem; symplectic mappings; nearly integrable; theorem class ... See more keywords
Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1307-1
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… read more here.
Keywords: nearly integrable; dimensional hyperbolic; tori nearly; lower dimensional ... See more keywords