Sponsored by the Rutgers University Department of Mathematics and the
Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)
Title: Periodic Discrete Dynamical Systems
Speaker: Saber Elaydi, Trinity University and Howard University
Date: Thursday, April 20, 2006 5:00pm
Location: Hill Center, Room 705, Rutgers University, Busch Campus, Piscataway, NJ
The dynamics of nonautonomous discrete dynamical systems or difference equations can be better understood in the setting of skew-product dynamical systems. We will survey the recent developments in the theory of periodic discrete semi-dynamical systems from stability to chaos. This includes, among other things, the various extensions of Sharkovsky's theorem, and Elaydi-Yakubu-Sacker theorem. The basic tools in this area are combinatorics, and number theory.