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

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.

Detalles Bibliográficos
Autor principal: Jiang, Shunjun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5306262/
https://www.ncbi.nlm.nih.gov/pubmed/28250692
http://dx.doi.org/10.1186/s13660-017-1307-1
Descripción
Sumario: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.