Dynamical aspects of piecewise conformal maps
Dynamical Systems
2019-01-25 v1
Abstract
We study the dynamics of piecewise conformal maps in the Riemann sphere. The normality and chaotic regions are defined and we state several results and properties of these sets. We show that the stability of these piecewise maps is related to the Kleinian group generated by their transformations under certain hypotheses. The general motivation of the article is to compare the dynamics of piecewise conformal maps and those of the Kleinian groups and iterations of rational maps.
Cite
@article{arxiv.1901.08192,
title = {Dynamical aspects of piecewise conformal maps},
author = {Renato Leriche and Guillermo Sienra},
journal= {arXiv preprint arXiv:1901.08192},
year = {2019}
}
Comments
23 pages, 15 figures