Dogan Comez, NDSU

Math Club, April 24, 2015.

Title:  Order in Chaotic Dynamical Systems

Abstract:  Many simple, seemingly ordered, physical systems exhibit unpredictable behavior if their initial condition is slightly altered.  Such systems are called chaotic.  Over the years mathematicians developed numerous techniques while trying to understand and analyze chaotic systems.  As a consequence, not only we have a quite good insight of chaotic systems, the tools developed enabled mathematicians to study many other dynamical systems (modeling various physical phenomena) as well as to discover and study new type of dynamical systems.  In this talk, I will develop some of these tools and concepts using simple examples and provide some interesting applications into fractal systems.