DYNAMICAL SYSTEMS

Graduate

This course is a study of the long-term qualitative behaviour of solutions of systems of differential or difference equations. Topics include: non-linear systems, linearization, numerical and graphical methods, equilibria, phase space, stability, bifurcations, strange attractors, and chaos. Applications to physics, biology and other sciences are studied. Graduate students are required to complete an additional project and report. This will be defined in consultation with the instructor to ensure the scope and assessment are sufficiently advanced to warrant graduate level credit. This course is cross-level listed with MATH 4720. Credit cannot be received for both MCS 8720 and MATH 4720. PREREQUISITE: Admission to a graduate program in Science HOURS OF CREDIT: 3