Scaling of the critical function for the standard map: some numerical results

DOI10.1088/0951-7715/17/2/017zbMath1053.37020arXivmath/0305220OpenAlexW3104222155MaRDI QIDQ4810816

Alberto Berretti, Guido Gentile

Publication date: 16 August 2004

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305220

zbMATH Keywords

rotation numberstandard mapLindstedt seriesBryuno functionGreene's residual criterioninvariant KAM curves

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) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Dynamical aspects of twist maps (37E40)

Related Items (3)

Escape times across the golden cantorus of the standard map ⋮ Computation of domains of analyticity for the dissipative standard map in the limit of small dissipation ⋮ Breakdown of Lindstedt expansion for chaotic maps

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