Critical functions for complex analytic maps

DOI10.1088/0305-4470/23/15/019zbMath0724.58037OpenAlexW2003242431MaRDI QIDQ3212014

Stefano Marmi

Publication date: 1990

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/23/15/019

zbMATH Keywords

critical pointsrotation numberinvariant curvesquasiconformal mapsSiegel disccritical functionscomplex analytic mappingsBryuno functionarea- preserving maps

Mathematics Subject Classification ID

Topological dynamics (37B99) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Quasiconformal mappings in the complex plane (30C62)

Related Items (13)

Modular smoothing and KAM tori ⋮ Scaling, perturbative renormalization and analyticity for the standard map and some generalizations ⋮ Analytic linearization of a generalization of the semi-standard map: radius of convergence and Brjuno sum ⋮ Some remarks on the optimality of the Bruno-R{\"u}ssmann condition ⋮ Regularity properties of \(k\)-Brjuno and Wilton functions ⋮ Complex Brjuno functions ⋮ On the relationship between the Bruno function and the breakdown of invariant tori ⋮ The existence of Siegel disks for the Cremona map ⋮ The 1/2-Complex Bruno Function and the Yoccoz Function: A Numerical Study of the Marmi-Moussa-Yoccoz Conjecture ⋮ On the numerical computation of Diophantine rotation numbers of analytic circle maps ⋮ Numerical computation of the asymptotic size of the rotation domain for the Arnold family ⋮ Natural boundaries for Hamiltonian maps and the genesis of the Siegel disk ⋮ Continued fractions and Brjuno functions

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