A note on the KAM theorem for symplectic mappings

被引：3
|
作者：
Shang Z.-J. [1 ]
机构：
[1] Institute of Mathematics, Academia Sinica
来源：
Journal of Dynamics and Differential Equations | 2000年 / 12卷 / 2期
基金：
中国国家自然科学基金;
关键词：
Differentiable foliations; Invariant tori; KAM theorem; Relevant estimates; Small twist theorem; Symplectic mappings;
D O I：
10.1023/A:1009068425415
中图分类号：
学科分类号：
摘要：
The mapping version of Pöschel's theory on differentiable foliation structures of invariant tori is presented and the relevant estimates explicitly in terms of the diophantine constant and the nondegeneracy parameters of frequency maps are given. As a direct application of the main result, a generalization of Moser's small twist theorem to high dimensions is given. © 2000 Plenum Publishing Corporation.
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页码：357 / 383
页数：26
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