In this article, we propose a general normal form to prove the persistence and the Gevrey-smoothness of lower dimensional elliptic invariant tori of nearly integrable symplectic mappings under the Russmann non-degeneracy condition. Our results generalize the ones presented in the literature.
Submitted October 3, 2016. Published June 29, 2017.
Math Subject Classifications: 34C27, 37J40.
Key Words: Symplectic mappings; KAM iteration; invariant tori; non-degeneracy condition; Gevrey-smoothness.
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| Shunjun Jiang |
College of Sciences, Nanjing Tech. University
Nanjing, Jiangsu 210009, China
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