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,...
Lorelei Koss is a professor of Mathematics at Dickinson College. , Koss, Lorelei. Crowdsourcing Solutions in the Online Mathematics Classroom. International Journal of Mathematical Education in Science and Technology 53, no....
Published as:Koss, Lorelei. Differential Equations in Literature, Poetry and Film. Journal of Mathematics and the Arts 9, no. 1-2 (2015): 1-16. For more information on the published version, visit Taylor and Francis's...
Koss, Lorelei. Differential Equations in Music and Dance. Journal of Mathematics and the Arts 10, no. 1-4 (2016): 53-64., For more information on the published version, visit Taylor and Francis's Website., and This is the...
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...
