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On the Reducibility for a Class of Quasi-Periodic Hamiltonian Systems with Small Perturbation Parameter
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-24
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We consider the following real two-dimensional nonlinear analytic quasi-periodic Hamiltonian system x˙=J∇xH, where H(x,t,ε)=(1/2)β(x12+x22)+F(x,t,ε) with β≠0,∂xF(0,t,ε)=O(ε) and ∂xxF(0,t,ε)=O(ε) as ε→0.
Without any nondegeneracy condition with respect to ε, we prove that for most of the sufficiently small ε, by a quasi-periodic symplectic transformation, it can be reduced to a quasi-periodic Hamiltonian system with an equilibrium.
American Psychological Association (APA)
Li, Jia& Xu, Junxiang. 2011. On the Reducibility for a Class of Quasi-Periodic Hamiltonian Systems with Small Perturbation Parameter. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-17.
https://search.emarefa.net/detail/BIM-465272
Modern Language Association (MLA)
Li, Jia& Xu, Junxiang. On the Reducibility for a Class of Quasi-Periodic Hamiltonian Systems with Small Perturbation Parameter. Abstract and Applied Analysis No. 2011 (2011), pp.1-17.
https://search.emarefa.net/detail/BIM-465272
American Medical Association (AMA)
Li, Jia& Xu, Junxiang. On the Reducibility for a Class of Quasi-Periodic Hamiltonian Systems with Small Perturbation Parameter. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-17.
https://search.emarefa.net/detail/BIM-465272
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465272