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May  2006, 15(2): 641-656. doi: 10.3934/dcds.2006.15.641

Brjuno condition and renormalization for Poincaré flows

João Lopes Dias 1,

1. 

Departamento de Matemática ISEG, Universidade Técnica de Lisboa, Rua do Quelhas 6, 1200-781 Lisboa, Portugal

Received  April 2004 Revised  September 2005 Published  March 2006

In this paper we give a new proof of the local analytic linearization of flows on T2 with a Brjuno rotation number, using renormalization techniques.
Keywords: analytic conjugacy to linear flow., Poincaré flows, continued fractions, Brjuno numbers, small divisors, Renormalization of vector fields.
Mathematics Subject Classification: 37E20, 37E45, 37E3.
Citation: João Lopes Dias. Brjuno condition and renormalization for Poincaré flows. Discrete & Continuous Dynamical Systems - A, 2006, 15 (2) : 641-656. doi: 10.3934/dcds.2006.15.641
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