ADV TOPICS IN CONT APPLIED MTH
Topics course An introduction to the theory of Dynamical Systems with applications. A dynamical system is a system that evolves with time under certain rules. We will look at both continuous and discrete dynamical systems when the rules are given by differential equations or iteration of transformations. We will study the stability of equilibria or periodic orbits, bifurcations, chaos and strange attractors. Applications will often be biological during the course, but students will do their final project on a scientific application of their choice.