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A normal form theorem for Brjuno skew systems through renormalization
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Autores
Orientador(es)
Resumo(s)
We 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.
Descrição
Palavras-chave
Probabilistic Perspective Norm Theorem Brjuno Base Flow
Contexto Educativo
Citação
Dias, 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).
Editora
Elsevier