A symplectic map and its application to the persistence of lower dimensional invariant tori

被引：0
作者：
Junxiang Xu
Jiangong You
机构：
[1] Southeast University,Department of Applied Mathematics
[2] Nanjing University,Department of Mathematics
来源：
Science in China Series A: Mathematics | 2002年 / 45卷 / 5期
关键词：
sympletic map; persistence; invariant tori;
D O I：
10.1360/02ys9064
中图分类号：
学科分类号：
摘要：
We give a nonlinear symplectic coordinator transformation, which can move the normal frequencies of the lower dimensional torus up to (k,w) where ω is the frequency vector of the torus. That means the normal frequencies with a difference (k,w) may be regarded as the same. As an application, we derive a persistence result on lower dimensional tori of nearly integrable Hamiltonian systems when the second Melnikov’s condition is partially violated.
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页码：598 / 603
页数：5
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