Open AccessReducibility of skew-product systems with multidimensional Brjuno base flows
Author(s) -
Saša Kocić
Publication year - 2010
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2011.29.261
Subject(s) - skew , base (topology) , product (mathematics) , mathematics , renormalization , pure mathematics , computer science , mathematical analysis , mathematical physics , geometry , telecommunications
We develop a renormalization method that applies to the problem of the local reducibility of analytic skew-product flows on Td $\times$ SL(2,R). We apply the method to give a proof of a reducibility theorem for these flows with Brjuno base frequency vectors.
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