Cantor bouquets, explosions, and Knaster continua: dynamic of complex exponentials.

Robert L. Devaney

Publicacions Matemàtiques (1999)

  • Volume: 43, Issue: 1, page 27-54
  • ISSN: 0214-1493

Abstract

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We describe some of the interesting dynamical and topological properties of the complex exponential family λez and its associated Julia sets.

How to cite

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Devaney, Robert L.. "Cantor bouquets, explosions, and Knaster continua: dynamic of complex exponentials.." Publicacions Matemàtiques 43.1 (1999): 27-54. <http://eudml.org/doc/41369>.

@article{Devaney1999,
abstract = {We describe some of the interesting dynamical and topological properties of the complex exponential family λez and its associated Julia sets.},
author = {Devaney, Robert L.},
journal = {Publicacions Matemàtiques},
keywords = {Familia exponencial; Espacio de Montel; Teoría de bifurcación; holomorphic family of dynamical systems; bifurcation; exponential function; Knaster continua; Julia set; Cantor bouquet; attracting fixed point; attracting basin; indecomposable continuum; cycle orbits},
language = {eng},
number = {1},
pages = {27-54},
title = {Cantor bouquets, explosions, and Knaster continua: dynamic of complex exponentials.},
url = {http://eudml.org/doc/41369},
volume = {43},
year = {1999},
}

TY - JOUR
AU - Devaney, Robert L.
TI - Cantor bouquets, explosions, and Knaster continua: dynamic of complex exponentials.
JO - Publicacions Matemàtiques
PY - 1999
VL - 43
IS - 1
SP - 27
EP - 54
AB - We describe some of the interesting dynamical and topological properties of the complex exponential family λez and its associated Julia sets.
LA - eng
KW - Familia exponencial; Espacio de Montel; Teoría de bifurcación; holomorphic family of dynamical systems; bifurcation; exponential function; Knaster continua; Julia set; Cantor bouquet; attracting fixed point; attracting basin; indecomposable continuum; cycle orbits
UR - http://eudml.org/doc/41369
ER -

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