%0 Journal Article
%T Dynamics of Functions with an Eventual Negative Schwarzian Derivative
%A Benjamin Webb
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0804.4852v2