Lopes, João Dias2023-10-162023-10-162006Lopes, João Dias .(2006). “Brjuno condition and renormalization for Poincaré flows”. Discrete and Continuous Dynamical Systems, Volume 15, No. 2: pp. 641-656. (Search PDF in 2023).http://hdl.handle.net/10400.5/29046In this paper we give a new proof of the local analytic linearization of flows on t² with a Brjuno rotation number, using renormalization techniques.engRenormalization of Vector FieldsBrjuno NumbersSmall DivisorsPoincaré FlowsContinued FractionsAnalytic Conjugacy to Linear Flowjournal articleDoi: 10.3934/dcds.2006.15.6415359-5374