Dynamics of Functions with an Eventual Negative Schwarzian Derivative
Abstract
Description
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.
18 pages, 2 figues, contents have been modified from previous version
18 pages, 2 figues, contents have been modified from previous version