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/