Open AccessBrjuno condition and renormalization for Poincaré flows
Author(s) -
João Lopes Dias
Publication year - 2006
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.2006.15.641
Subject(s) - renormalization , poincaré conjecture , linearization , rotation number , rotation (mathematics) , mathematics , mathematical physics , physics , nonlinear system , quantum mechanics , geometry
In this paper we give a new proof of the local analytic linearisation of ∞ows on T2 with a Brjuno rotation number, using renormalization techniques.
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