Renormalization of vector fields and Diophantine invariant tori

DOI10.1017/S0143385707000892zbMath1170.37015MaRDI QIDQ3623586

Hans Koch, Saša Kocić

Publication date: 21 April 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

vector fieldHamiltonian vector fieldrenormalization groupdivergence-free vector fieldKAM theorynon-degeneracy conditionsinvariant torussymmetric vector fieldreversible vector fieldDiophantine vector

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Periodic orbits of vector fields and flows (37C27) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dynamical systems involving maps of trees and graphs (37E25) Rotation numbers and vectors (37E45)

Related Items (4)

Reducibility of quasi-periodically forced circle flows ⋮ Local conjugacy classes for analytic torus flows ⋮ Renormalization conjecture and rigidity theory for circle diffeomorphisms with breaks ⋮ A renormalization approach to lower-dimensional tori with Brjuno frequency vectors

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