Cantor bouquets, explosions, and Knaster continua: Dynamics of complex exponentials

DOI10.5565/PUBLMAT_43199_02zbMath0939.37028OpenAlexW2099796788MaRDI QIDQ1301324

Robert L. Devaney

Publication date: 3 April 2000

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41369

zbMATH Keywords

exponential functionbifurcationCantor bouquetJulia setattracting fixed pointindecomposable continuumKnaster continuaattracting basincycle orbitsholomorphic family of dynamical systems

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Entire and meromorphic functions of one complex variable, and related topics (30D99)

Related Items (7)

Trees and hairs for some hyperbolic entire maps of finite order ⋮ Indecomposable continua in exponential dynamics -- Hausdorff dimension ⋮ Escaping endpoints explode ⋮ Perturbations in the Speiser class ⋮ Spiders' webs of doughnuts ⋮ On the set where the iterates of an entire function are neither escaping nor bounded ⋮ The $C^*$-algebra of the exponential function

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