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Complex Dynamics : Twenty-Five Years after the Appearance of the Mandelbrot Set.

By: Contributor(s): Material type: TextTextSeries: Contemporary MathematicsPublisher: Providence : American Mathematical Society, 2006Copyright date: ©2006Edition: 1st edDescription: 1 online resource (218 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821879863
Subject(s): Genre/Form: Additional physical formats: Print version:: Complex DynamicsDDC classification:
  • 514/.742
LOC classification:
  • QA614.86 -- .A47 2004eb
Online resources:
Contents:
Intro -- Contents -- Preface -- Indecomposable continua and the Julia sets of rational maps -- The Hénan family: The complex horseshoe locus and real parameter space -- Baby Mandelbrot sets adorned with halos in families of rational maps -- Blowup points and baby Mandelbrot sets for singularly perturbed rational maps -- Some remarks on the connectivity of Julia sets for 2-dimensional diffeomorphisms -- Rigorous numerical studies of the dynamics of polynomial skew products of C2 -- Accumulation points of iterated function systems -- Parabolic perturbation of the family λ tan z -- Polynomial vector fields, dessins d'enfants, and circle packings -- Siegel disks whose boundaries have only two complementary domains -- Non-uniform porosity for a subset of some Julia sets -- The existence of conformal measures for some transcendental meromorphic functions -- Open problems.
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Intro -- Contents -- Preface -- Indecomposable continua and the Julia sets of rational maps -- The Hénan family: The complex horseshoe locus and real parameter space -- Baby Mandelbrot sets adorned with halos in families of rational maps -- Blowup points and baby Mandelbrot sets for singularly perturbed rational maps -- Some remarks on the connectivity of Julia sets for 2-dimensional diffeomorphisms -- Rigorous numerical studies of the dynamics of polynomial skew products of C2 -- Accumulation points of iterated function systems -- Parabolic perturbation of the family λ tan z -- Polynomial vector fields, dessins d'enfants, and circle packings -- Siegel disks whose boundaries have only two complementary domains -- Non-uniform porosity for a subset of some Julia sets -- The existence of conformal measures for some transcendental meromorphic functions -- Open problems.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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