Dynamics of Functions with an Eventual Negative Schwarzian Derivative

SIAM Student Seminar
Friday, September 25, 2009 - 1:00pm for 1 hour (actually 50 minutes)
Skiles 255
Benjamin Webb – School of Mathematics, Georgia Tech
Linwei Xin
In the study of one dimensional dynamical systems one often assumes that the functions involved have a negative Schwarzian derivative. In this talk 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