Iteration of quasiregular tangent functions in three dimensions
Dynamical Systems
2011-12-16 v1 Complex Variables
Abstract
We define a new quasiregular mapping T in three dimensions that generalizes the tangent function on the complex plane and shares a number of its geometric properties. We investigate the dynamics of the family \lambda T for \lambda>0, establishing results analogous to those of Devaney and Keen for the meromorphic family \lambda tan z, \lambda>0, although the methods used are necessarily original.
Cite
@article{arxiv.1112.3589,
title = {Iteration of quasiregular tangent functions in three dimensions},
author = {Alastair N. Fletcher and Daniel A. Nicks},
journal= {arXiv preprint arXiv:1112.3589},
year = {2011}
}
Comments
24 pages, 3 figures