Dias, João Lopes2023-10-132023-10-132006Dias, João Lopes .(2006). “A normal form theorem for Brjuno skew systems through renormalization”. Journal of Differential Equations, Vol. 230, No 1: pp. 1-23 . (Search PDF in 2023).0022-0396http://hdl.handle.net/10400.5/29045We develop a dynamical renormalization method for the problem of local reducibility of analytic linear quasi-periodic skew-product flows on T²- × SL(2, ℝ). This approach is based on the continued fraction expansion of the linear base flow and deals with “small-divisors” by turning them into “large-divisors.” We use this method to give a new proof of a normal form theorem for a Brjuno base flow.engProbabilistic PerspectiveNorm TheoremBrjuno Base Flowjournal articleoi.org/10.1016/j.jde.2006.07.021