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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm199-3-3,
author = {Daniel M. Look},
title = {The dynamics of two-circle and three-circle inversion},
journal = {Fundamenta Mathematicae},
volume = {201},
year = {2008},
pages = {227-247},
zbl = {1153.37382},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm199-3-3}
}
Daniel M. Look. The dynamics of two-circle and three-circle inversion. Fundamenta Mathematicae, Tome 201 (2008) pp. 227-247. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm199-3-3/