Renormalization and periodic orbits for Hamiltonian flows

DOI10.1007/s002200000218zbMath0989.37016OpenAlexW2077637515MaRDI QIDQ1581664

Hans Koch, Juan J. Abad

Publication date: 8 October 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200000218

zbMATH Keywords

periodic orbitsrenormalization groupinvariant torinon-resonance conditionnear-integrable Hamiltoniansanalytic Hamiltoniansperiodic and quasiperiodic orbits

Mathematics Subject Classification ID

Related Items (11)

Renormalization-group analysis for the transition to chaos in Hamiltonian systems ⋮ KAM Theory as a Limit of Renormalization ⋮ Multidimensional continued fractions, dynamical renormalization and KAM theory ⋮ Existence of critical invariant tori ⋮ Renormalization and destruction of 1/γ2 tori in the standard nontwist map ⋮ 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 ⋮ Determination of the threshold of the break-up of invariant tori in a class of three frequency Hamiltonian systems ⋮ Rigidity for infinitely renormalizable area-preserving maps ⋮ Renormalization of vector fields and Diophantine invariant tori ⋮ Spectral properties of renormalization for area-preserving maps

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