Scaling near resonances and complex rotation numbers for the standard map

DOI10.1088/0951-7715/7/2/014zbMath0967.37502OpenAlexW2083104695MaRDI QIDQ4862500

Stefano Marmi, Alberto Berretti

Publication date: 26 August 2001

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/735240071c34914dcd199328d6c9a5d3b834494f

zbMATH Keywords

Padé approximantsstandard mapLindstedt seriesBryuno functionrotation numbe

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical aspects of twist maps (37E40)

Related Items (4)

On the singularity structure of invariant curves of symplectic mappings ⋮ Scaling, perturbative renormalization and analyticity for the standard map and some generalizations ⋮ On the relationship between the Bruno function and the breakdown of invariant tori ⋮ Scaling properties for the radius of convergence of a Lindstedt series: The standard map

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