Sponsored by the Rutgers University Department of Mathematics and the

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

**Co-organizers:****Drew Sills**, Rutgers University, asills {at} math [dot] rutgers [dot] edu**Doron Zeilberger**, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu

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

Abstract:

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.