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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.
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer International Publishing
2017
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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 |
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. |
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