Connectivity Properties of Julia Sets of Weierstrass Elliptic Functions
Public DepositedPublished as: Hawkins, Jane and Lorelei Koss. Connectivity Properties of Julia Sets of Weierstrass Elliptic Functions.
Topology and its Applications 152, no. 1 (2005): 107-37. For more information on the published version, visit Elsevier's Website.
We discuss the connectivity properties of Julia sets of Weierstrass elliptic ℘ functions, accompanied by examples. We give sufficient conditions under which the Julia set is connected and show that triangular lattices satisfy this condition. We also give conditions under which the Fatou set of ℘ contains a toral band and provide an example of an order two elliptic function on a square lattice whose Julia set is a Cantor set.
MLA citation style (9th ed.)
. 2004. dickinson.hykucommons.org/concern/generic_works/7fefe356-a7ea-4a14-b55e-ad25e6f62908. Connectivity Properties of Julia Sets of Weierstrass Elliptic Functions.APA citation style (7th ed.)
(2004). Connectivity Properties of Julia Sets of Weierstrass Elliptic Functions. https://dickinson.hykucommons.org/concern/generic_works/7fefe356-a7ea-4a14-b55e-ad25e6f62908Chicago citation style (CMOS 17, author-date)
Connectivity Properties of Julia Sets of Weierstrass Elliptic Functions. 2004. https://dickinson.hykucommons.org/concern/generic_works/7fefe356-a7ea-4a14-b55e-ad25e6f62908.Note: These citations are programmatically generated and may be incomplete.