An Improved Result for Positive Measure Reducibility of Quasi-periodic Linear Systems

Authors
He, Hai Long You, Jian Gong
Citation
He, Hai Long et You, Jian Gong, An Improved Result for Positive Measure Reducibility of Quasi-periodic Linear Systems, Acta mathematica Sinica. English series (Print) , 22(1), 2006, pp. 77-86
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
22
Issue
1
Year of publication
2006
Pages
77 - 86
Database
ACNP
SICI code
Abstract
In this paper, by the KAM method, under weaker small denominator conditions and nondegeneracy conditions, we prove a positive measure reducibility for quasi-periodic linear systems close to constant: . = (A(.) + F(., .))X, ..=.where the parameter . . (a, b), . is a fixed Diophantine vector, which is a generalization of Jorba & Simó.s positive measure reducibility result