Scaling law for the critical function of an approximate renormalization

DOI10.1088/0951-7715/14/4/308zbMath1039.37043arXivnlin/0005020OpenAlexW4319603740MaRDI QIDQ2730682

Pierre Moussa, Cristel Chandre

Publication date: 2001

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0005020

zbMATH Keywords

Hamiltonian systemsrenormalizationforced pendulumKAM theoremscaling behaviourcritical functionBruno functionrational frequencies

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) 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) Dynamical aspects of twist maps (37E40) Rotation numbers and vectors (37E45)

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