Renormalization scheme for vector fields on 𝕋2with a diophantine frequency

DOI10.1088/0951-7715/15/3/308zbMath1013.37041arXivmath/0105067OpenAlexW2045839586MaRDI QIDQ3147372

João Lopes Dias

Publication date: 12 November 2002

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0105067

zbMATH Keywords

convergencelimit setcontinued fraction expansioniteration procedurePoincaré type

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Flows on surfaces (37E35) Renormalization of holomorphic dynamical systems (37F25)

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KAM Theory as a Limit of Renormalization ⋮ A normal form theorem for Brjuno skew systems through renormalization ⋮ Multidimensional continued fractions, dynamical renormalization and KAM theory ⋮ Existence of critical invariant tori ⋮ A renormalization group approach to quasiperiodic motion with Brjuno frequencies ⋮ Renormalization of planar analytic saddles ⋮ Exponentially small splitting of separatrices for whiskered tori in Hamiltonian systems ⋮ Renormalization of vector fields and Diophantine invariant tori

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