Abstract
In this paper, we investigate topological properties of the Julia set of a family of even elliptic functions on real rectangular lattices. These functions have two real critical points and, depending on the shape of the lattice, one or two non-real critical points. We prove that if 0 is the only real fixed point then the Julia set is Cantor. We show that functions with Cantor Julia sets exist within every equivalence class of real rectangular lattices, and we generally locate the parameters giving rise to these Julia sets in the parameter plane representing real lattices.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
