Scaling law in the standard map critical function. Interpolating Hamiltonian and frequency map analysis

DOI10.1088/0951-7715/13/6/308zbMath0999.37027arXivnlin/0003040OpenAlexW4300536284MaRDI QIDQ4521392

Timoteo Carletti, Jacques Laskar

Publication date: 29 November 2002

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0003040

zbMATH Keywords

rotation numberresonancesinvariant curvesscaling lawexistence of invariant curvesrotation number of Brjuno type

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Dynamical aspects of twist maps (37E40) Rotation numbers and vectors (37E45)

Related Items

Renormalization-group analysis for the transition to chaos in Hamiltonian systems, On the relationship between the Bruno function and the breakdown of invariant tori, Breakdown of Lindstedt expansion for chaotic maps