Publicação
A normal form theorem for Brjuno skew systems through renormalization
| Resumo: | 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. |
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| Autores principais: | Dias, João Lopes |
| Assunto: | Probabilistic Perspective Norm Theorem Brjuno Base Flow |
| Ano: | 2006 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Universidade de Lisboa |
| Idioma: | inglês |
| Origem: | Repositório da Universidade de Lisboa |
| Resumo: | 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. |
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