Title:
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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Author(s)
Li, Yong
Yi, Yingfei
Yi, Yingfei
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Abstract
The work is a generalization to [40] in which 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.
Sponsor
The first author was partially supported by NSFC grant 19971042, National 973 Project of
China: Nonlinearity, the outstanding young's project of Ministry of Education of China, and National outstanding young's award of China. The second author was partially supported by NSF grants DMS9803581 and DMS-0204119.
Date Issued
1999
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Text
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Pre-print