We discuss connectivity properties of Julia sets of the parameterized Dixon elliptic functions. Our main result is that the connectivity locus of the parameterized Dixon sine function is the exterior of the open unit disc, and...
Published as:Koss, Lorelei. Cantor Julia Sets in a Family of Even Elliptic Functions. Journal of Difference Equations and Applications 16, no. 5-6 (2010): 675-88. For more information on the published version, visit Taylor...
Published 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,...
We study the dynamics of a family of polynomial functions and the relationship to the dynamics of a related entire transcendental family of functions. As the degree of the polynomial approaches infinity, the polynomial...
Published as:Goldsmith, Jeff and Lorelei Koss. Dynamical Properties of the Derivative of the Weierstrass Elliptic Function. Involve 2, no. 3 (2009): 267-88.For more information on the published version, visit Mathematical...
For more information on the published version, visit Mathematical Sciences Publisher's Website., In this paper, we investigate the dynamics of iterating the Weierstrass elliptic functions on vertical real rhombic lattices. The...
Published as:Hawkins, Jane, Lorelei Koss, and Janina Kotus. Elliptic Functions with Critical Orbits Approaching Infinity. Journal of Difference Equations and Applications, 16, no. 5-6 (2010): 613-30.For more information on...
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., Koss, Lorelei. "Examples of...
This published version is made available on Dickinson Scholar with the permission of the publisher. For more information on the published version, visit Hindawi Publishing Corporation's Website., We prove that there are...
We analyze the dynamics of a sequence of families of non-polynomial rational maps, {f a,d }, for a ∈ C* = C \ {0}, d ≥ 2. For each d, {f a,d } is a family of rational maps of degree d of the Riemann sphere parametrized by a ∈...
