Dynamical systems are mathematical objects used to model phenomena of natural

and social phenomena whose state changes over time. Nonlinear dynamical systems

are able to show complicated temporal, spatial and spatio-temporal behavior. They

include oscillatory and chaotic behaviors and spatial structures including fractals.

Students will learn the basic mathematical concepts and methods used to describe

dynamical systems. Applications will cover many scientific disciplines, including

physics, chemistry, biology, economics, and other social sciences.