Mathematics 364ds - Advanced Topics in Continuous Applied Mathematics-Dynamical Systems, Chaos and Applications

An introduction to the theory of Dynamical Systems with applications. A dynamical system is a system that evolves with time under certain rules. We look at both continuous and discrete dynamical systems when the rules are given by differential equations or iteration of transformations. We study the stability of equilibria or periodic orbits, bifurcations, chaos and strange attractors. Applications often be biological during the course, but students do their final project on a scientific application of their choice. Prerequisites: MTH 211 and MTH 212 or equivalent.