On the renormalization of Hamiltonian flows, and critical invariant tori

DOI10.3934/dcds.2002.8.633zbMath1162.37321OpenAlexW2091480635MaRDI QIDQ1599883

Hans Koch

Publication date: 6 June 2002

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2002.8.633

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Universality and renormalization of dynamical systems (37E20) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (10)

KAM Theory as a Limit of Renormalization ⋮ Multidimensional continued fractions, dynamical renormalization and KAM theory ⋮ Renormalization group operators for maps and universal scaling of universal scaling exponents ⋮ PERIOD DOUBLING RENORMALIZATION FOR AREA-PRESERVING MAPS AND MILD COMPUTER ASSISTANCE IN CONTRACTION MAPPING PRINCIPLE ⋮ Period doubling in area-preserving maps: an associated one-dimensional problem ⋮ A renormalization group approach to quasiperiodic motion with Brjuno frequencies ⋮ Renormalization for breakup of invariant tori ⋮ The critical renormalization fixed point for commuting pairs of area-preserving maps ⋮ Rigidity for infinitely renormalizable area-preserving maps ⋮ Spectral properties of renormalization for area-preserving maps

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