Title
Elliptic Functions with Disconnected Julia Sets
Document Type
Article
Publication Date
6-2016
Department
Mathematics
Language
English
Publication Title
International Journal of Bifurcation and Chaos
Abstract
In this paper, we investigate elliptic functions of the form , where is the Weierstrass elliptic function on a real rhombic lattice. We show that a typical function in this family has a superattracting fixed point at the origin and five other equivalence classes of critical points. We investigate conditions on the lattice which guarantee that has a double toral band, and we show that this family contains the first known examples of elliptic functions for which the Julia set is disconnected but not Cantor.
DOI
10.1142/S0218127416500954
Recommended Citation
Koss, Lorelei. "Elliptic Functions with Disconnected Julia Sets." International Journal of Bifurcation and Chaos 26, no. 6 (2016): 10 pages. doi: 10.1142/S0218127416500954
Comments
For more information on the published version visit, World Scientific's Website.