Brjuno condition and renormalization for Poincaré flows

João Lopes Dias

doi:10.3934/dcds.2006.15.641

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2006, Volume 15, Issue 2: 641-656. Doi: 10.3934/dcds.2006.15.641

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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

Received: March 31, 2004

Revised: August 31, 2005

Published: March 2006

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Abstract

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.

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Mathematics Subject Classification: 37E20, 37E45, 37E35.

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