Numerical calculation of domains of analyticity for perturbation theories in the presence of small divisors
type: Item
instance of: scholarly article
title: Numerical calculation of domains of analyticity for perturbation theories in the presence of small divisors
zbMATH Open document ID: 0892.58066
DOI: 10.1007/BF01049723
author: Corrado Falcolini
author: Rafael de la Llave
published in: Journal of Statistical Physics
publication date: 1994-09-26T00:00:00Z
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 37F99
zbMATH DE Number: 111960
zbMATH Keywords: domains of analyticity
zbMATH Keywords: perturbation
zbMATH Keywords: small divisors
zbMATH Keywords: KAM theory
zbMATH Keywords: Padé approximants
zbMATH Keywords: periodic orbits
zbMATH Keywords: Green's criterion
zbMATH Keywords: breakdown of tori
MaRDI profile type: Publication
cites work: Invariant sets under iteration of rational functions
cites work: Q3207312
cites work: On the complex analytic structure of the golden invariant curve for the standard map
cites work: Natural boundaries for area-preserving twist maps
cites work: Q3260726
cites work: A rigorous partial justification of Greene's criterion
cites work: Q3713483
cites work: Hamiltonian maps in the complex plane
cites work: Periodic orbits for reversible, symplectic mappings
cites work: Fractal boundary for the existence of invariant circles for area- preserving maps: Observations and renormalisation explanation
cites work: Q3935355
cites work: Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
cites work: Q4284069
cites work: A renormalization approach to invariant circles in area-preserving maps
cites work: Greene's residue criterion
cites work: Chaotic boundary of a hamiltonial map
cites work: On the symmetry lines of the standard mapping
cites work: Q4070368
cites work: Erratic behavior of invariant circles in standard-like mappings
cites work: New fixed point of the renormalisation operator associated with the recurrence of invariant circles in generic Hamiltonian maps
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description: scientific article; zbMATH DE number 111960