The dynamics of two-circle and three-circle inversion

Daniel M. Look

Fundamenta Mathematicae (2008)

  • Volume: 199, Issue: 3, page 227-247
  • ISSN: 0016-2736

Abstract

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We study the dynamics of a map generated via geometric circle inversion. In particular, we define multiple circle inversion and investigate the dynamics of such maps and their corresponding Julia sets.

How to cite

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Daniel M. Look. "The dynamics of two-circle and three-circle inversion." Fundamenta Mathematicae 199.3 (2008): 227-247. <http://eudml.org/doc/282802>.

@article{DanielM2008,
abstract = {We study the dynamics of a map generated via geometric circle inversion. In particular, we define multiple circle inversion and investigate the dynamics of such maps and their corresponding Julia sets.},
author = {Daniel M. Look},
journal = {Fundamenta Mathematicae},
keywords = {Julia set; complex dynamics; geometry; circle inversion; topology},
language = {eng},
number = {3},
pages = {227-247},
title = {The dynamics of two-circle and three-circle inversion},
url = {http://eudml.org/doc/282802},
volume = {199},
year = {2008},
}

TY - JOUR
AU - Daniel M. Look
TI - The dynamics of two-circle and three-circle inversion
JO - Fundamenta Mathematicae
PY - 2008
VL - 199
IS - 3
SP - 227
EP - 247
AB - We study the dynamics of a map generated via geometric circle inversion. In particular, we define multiple circle inversion and investigate the dynamics of such maps and their corresponding Julia sets.
LA - eng
KW - Julia set; complex dynamics; geometry; circle inversion; topology
UR - http://eudml.org/doc/282802
ER -

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