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This article is cited in 9 scientific papers (total in 9 papers)
General KAM Theorems and their Applications to Invariant Tori with Prescribed Frequencies
Junxiang Xu, Xuezhu Lu Department of Mathematics, Southeast University, Nanjing, 210096, China
Abstract:
In this paper we develop a new KAM technique to prove two general KAM theorems for nearly integrable Hamiltonian systems without assuming any nondegeneracy condition. Many of KAM-type results (including the classical KAM theorem) are special cases of our theorems under some nondegeneracy condition and some smoothness condition. Moreover, we can obtain some interesting results about KAM tori with prescribed frequencies.
Keywords:
Hamiltonian system, KAM iteration, invariant tori, nondegeneracy condition.
Received: 14.07.2015 Accepted: 13.11.2015
Citation:
Junxiang Xu, Xuezhu Lu, “General KAM Theorems and their Applications to Invariant Tori with Prescribed Frequencies”, Regul. Chaotic Dyn., 21:1 (2016), 107–125
Linking options:
https://www.mathnet.ru/eng/rcd69 https://www.mathnet.ru/eng/rcd/v21/i1/p107
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