On the Effective Reducibility of a Class of Quasi-Periodic Linear Hamiltonian Systems Close to Constant Coefficients
Joint Authors
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-02
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In this paper, we consider the effective reducibility of the quasi-periodic linear Hamiltonian system x˙=A+εQt,εx, ε∈0,ε0, where A is a constant matrix with possible multiple eigenvalues and Q(t,ε) is analytic quasi-periodic with respect to t.
Under nonresonant conditions, it is proved that this system can be reduced to y˙=A⁎ε+εR⁎t,εy, ε∈0,ε⁎, where R⁎ is exponentially small in ε, and the change of variables that perform such a reduction is also quasi-periodic with the same basic frequencies as Q.
American Psychological Association (APA)
Xue, Nina& Zhao, Wencai. 2018. On the Effective Reducibility of a Class of Quasi-Periodic Linear Hamiltonian Systems Close to Constant Coefficients. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1186428
Modern Language Association (MLA)
Xue, Nina& Zhao, Wencai. On the Effective Reducibility of a Class of Quasi-Periodic Linear Hamiltonian Systems Close to Constant Coefficients. Journal of Function Spaces No. 2018 (2018), pp.1-7.
https://search.emarefa.net/detail/BIM-1186428
American Medical Association (AMA)
Xue, Nina& Zhao, Wencai. On the Effective Reducibility of a Class of Quasi-Periodic Linear Hamiltonian Systems Close to Constant Coefficients. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1186428
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186428