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2009 Dynamical properties of the derivative of the Weierstrass elliptic function
Jeff Goldsmith, Lorelei Koss
Involve 2(3): 267-288 (2009). DOI: 10.2140/involve.2009.2.267

Abstract

We discuss properties of the Julia and Fatou sets of the derivative of the Weierstrass elliptic function. We find triangular lattices for which the Julia set is the whole sphere, or which have superattracting fixed or period two points. We study the parameter space of the derivative of the Weierstrass elliptic function on triangular lattices and explain the symmetries of that space.

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Jeff Goldsmith. Lorelei Koss. "Dynamical properties of the derivative of the Weierstrass elliptic function." Involve 2 (3) 267 - 288, 2009. https://doi.org/10.2140/involve.2009.2.267

Information

Received: 31 July 2008; Accepted: 29 March 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1177.30043
MathSciNet: MR2551125
Digital Object Identifier: 10.2140/involve.2009.2.267

Subjects:
Primary: 30D99, 37F10, 37F45

Rights: Copyright © 2009 Mathematical Sciences Publishers

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