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ON THE REDUCIBILITY OF 2-DIMENSIONAL LINEAR QUASI-PERIODIC SYSTEMS WITH SMALL PARAMETERS.
- Source :
-
Proceedings of the American Mathematical Society . Nov2016, Vol. 144 Issue 11, p4793-4805. 13p. - Publication Year :
- 2016
-
Abstract
- In this paper we consider a real analytic linear quasi-periodic system of 2-dimension, whose coefficient matrix depends on a small parameter Cm-smoothly and closes to constant. Under some non-resonance conditions about the basic frequencies and the eigenvalues of the constant matrix and without any non-degeneracy assumption with respect to the small parameter, we prove that the system is reducible for many of the sufficiently small parameters. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 144
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 118056499
- Full Text :
- https://doi.org/10.1090/proc/13088