Dynamical Properties of Weierstrass Elliptic Functions on Square Lattices Public Deposited
- Last Modified
- March 21, 2019
- Creator
-
Clemons, Joshua J.
- Affiliation: College of Arts and Sciences, Department of Mathematics
- Abstract
- In this dissertation we prove that the Julia set of a Weierstrass elliptic function on a square lattice is connected. We further show that the parameter space contains an infinite number of Mandelbrot sets. As a consequence, this proves the existence of Siegel disks and gives a description of the bifurcation locus about super-attracting parameters corresponding to super-attracting fixed points. We conclude with a description of a family of rational maps that approximate the Weierstrass elliptic function on a square lattice.
- Date of publication
- May 2010
- DOI
- Resource type
- Rights statement
- In Copyright
- Advisor
- Hawkins, Jane
- Language
- Access
- Open access
- Parents:
This work has no parents.
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Dynamical properties of Weierstrass elliptic functions on square lattices | 2019-04-09 | Public |
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