Higher Order Elliptic Functions with Connected Julia Sets
Connectivity properties of elliptic functions are completely understood for only four families of order two elliptic functions. In this paper, we find families of elliptic functions of arbitrarily high order on square and triangular lattices for which the Julia set is connected.
Clemons, Joshua J., and Lorelei Koss. "Higher Order Elliptic Functions with Connected Julia Sets." Topology Proceedings 53 (2019): 57-72. (Article published online May 7, 2018). http://topology.auburn.edu/tp/reprints/v53/tp53006p1.pdf