Reducibility of quasiperiodic cocycles under a Brjuno-Rüssmann arithmetical condition

DOI10.3934/JMD.2012.6.59zbMath1331.37081arXiv1107.4704OpenAlexW4232040887MaRDI QIDQ428929

Stefano Marmi, Claire Chavaudret

Publication date: 25 June 2012

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4704

zbMATH Keywords

reducibilityrotation numberBrjuno conditionDiophantine conditionKAM methodquasiperiodic cocycle

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Rotation numbers and vectors (37E45)

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