Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844390 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 11 Pages |
Abstract
In this paper we formulate a theorem on the persistence of elliptic lower-dimensional invariant tori for nearly integrable analytic Hamiltonian systems under the first Melnikov condition and Rüssmann’s non-degeneracy condition, and give the measure estimates of parameters for the non-resonance conditions under Rüssmann’s non-degeneracy condition, which is essential for the proof of our result.
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Authors
Shaoping Wang, Dongfeng Zhang, Junxiang Xu,