Dynamics of Functions with an Eventual Negative Schwarzian Derivative

Details Dynamics of Functions with an Eventual Negative Schwarzian Derivative Dynamics of Functions with an Eventual Negative Schwarzian Derivative

2008-04-30

arxiv.org/abs/0804.4852v2

Mathematics

Dynamical Systems

18 pages, 2 figues, contents have been modified from previous version

Scientific paper

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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