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A KAM Theorem for a Class of Nearly Integrable Symplectic Mappings

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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. Click to show full 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.

Keywords: kam theorem; symplectic mappings; nearly integrable; theorem class; class nearly

Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2017

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