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- Title
On the Effective Reducibility of a Class of Quasi-Periodic Linear Hamiltonian Systems Close to Constant Coefficients.
- Authors
Xue, Nina; Zhao, Wencai
- Abstract
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.
- Subjects
QUASIANALYTIC functions; HAMILTON'S principle function; EIGENVALUE equations; FREQUENCY (Linguistics); COEFFICIENTS (Statistics)
- Publication
Journal of Function Spaces, 2018, p1
- ISSN
2314-8896
- Publication type
Article
- DOI
10.1155/2018/5189873