Document Type
Article
Publication Date
6-2014
Department
Mathematics
Language
English
Publication Title
New York Journal of Mathematics
Abstract
In this paper, we investigate parametrized families of elliptic functions on real rectangular lattices. Although these functions have at most four critical values, we prove that they have at most one attracting or parabolic cycle of Fatou components. We find some families for which the Julia set is always the entire sphere.
Recommended Citation
Koss, Lorelei. "Examples of Parametrized Families of Elliptic Functions With Empty Fatou Sets." New York Journal of Mathematics 20 (2014): 607-25.
Comments
This published version is made available on Dickinson Scholar with the permission of the publisher. For more information on the published version, visit New York Journal of Mathematics's Website.