Persistence of lower dimensional tori of general types in Hamiltonian systems
Persistence of lower dimensional tori of general types in Hamiltonian systems
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DOI：
10.1090/s0002-9947-04-03564-0
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发表时间：
2004-10
影响因子：
1.3
通讯作者：
Yong Li;Y. Yi
中科院分区：
文献类型：
--
作者：
Yong Li;Y. Yi
本文的工作推广了J.You（1999）的一个结果：我们研究了一般正规型Hamilton系统中一般型低维环面的持久性。通过引入一个修改的线性KAM迭代格式来处理小因子，我们将证明一个持久性的结果，Melnikov型的非共振条件下，特别是允许多个和退化的正常频率的未扰动的低维环面。
This work is a generalization to a result of J. You (1999) We study the persistence of lower dimensional tori of general type in Hamiltonian systems of general normal forms. By introducing a modified linear KAM iterative scheme to deal with small divisors, we shall prove a persistence result, under a Melnikov type of non-resonance condition, which particularly allows multiple and degenerate normal frequencies of the unperturbed lower dimensional tori.