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.

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.

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