Singularities in the boundaries of local Siegel disks

DOI10.1017/S0143385700007112zbMath0780.30023OpenAlexW2167299036MaRDI QIDQ3141485

James T. jun. Rogers

Publication date: 30 November 1993

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700007112

zbMATH Keywords

iterationfixed pointJulia setindecomposable continuumSiegel disks

Mathematics Subject Classification ID

Topological dynamics (37B99) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamical systems over complex numbers (37F99)

Related Items (8)

Indecomposable Continua and the Julia Sets of Polynomials ⋮ Is the boundary of a Siegel disk a Jordan curve? ⋮ Slices of the parameter space of cubic polynomials ⋮ Critical points on the boundaries of Siegel disks ⋮ An entire transcendental family with a persistent Siegel disc ⋮ Cantor sets of arcs in decomposable local Siegel disk boundaries ⋮ Fixed Point Theorems for Plane Continua with Applications ⋮ Building blocks for quadratic Julia sets

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