Gevrey Regularity of Invariant Curves of Analytic Reversible Mappings

被引：1

作者：

Zhang, Dongfeng ^{[1
]}

Cheng, Rong ^{[2
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

[2] Nanjing Univ Informat Sci & Technol, Coll Math & Phys, Nanjing 210044, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2010年

基金：

中国国家自然科学基金;

关键词：

NON-DEGENERACY CONDITION; INTEGRABLE HAMILTONIAN-SYSTEMS; EXTENSION THEOREM; TORI; SMOOTHNESS; STABILITY; TWIST;

D O I：

10.1155/2010/324378

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of a Gevrey family of invariant curves for analytic reversible mappings under weaker nondegeneracy condition. The index of the Gevrey smoothness of the family could be any number mu > tau + 2, where tau > m - 1 is the exponent in the small divisors condition and m is the order of degeneracy of the reversible mappings. Moreover, we obtain a Gevrey normal form of the reversible mappings in a neighborhood of the union of the invariant curves.

引用

页数：18

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