Dynamics of Functions with an Eventual Negative Schwarzian Derivative
Dynamical Systems
2008-07-14 v2
Abstract
In the study of one dimensional dynamical systems one often assumes that the functions involved have a negative Schwarzian derivative. In this paper we consider a generalization of this condition. Specifically, we consider the interval functions of a real variable having some iterate with a negative Schwarzian derivative and show that many known results generalize to this larger class of functions. The introduction of this class was motivated by some maps arising in neuroscience.
Cite
@article{arxiv.0804.4852,
title = {Dynamics of Functions with an Eventual Negative Schwarzian Derivative},
author = {Benjamin Webb},
journal= {arXiv preprint arXiv:0804.4852},
year = {2008}
}
Comments
18 pages, 2 figues, contents have been modified from previous version