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arXiv · 0804.4852

Dynamics of Functions with an Eventual Negative Schwarzian Derivative

Benjamin Webb
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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.

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Benjamin Webb. 2008-07-14. Dynamics of Functions with an Eventual Negative Schwarzian Derivative. https://arxiv.org/abs/0804.4852

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