MCSC 6140G - Dynamical Systems and Bifurcations

This course provides an introduction to the modern theory of dynamical systems and bifurcation theory, including chaos theory. Dynamical systems theory is an important tool in the modelling of many physical systems, but it is also a rich field of mathematical research in itself. By the end of this course, the student will have acquired a large toolkit of techniques to analyze the dynamical features of ordinary differential equations and discrete dynamical systems. Topics include structural stability, invariant manifolds, local and global bifurcations, reduction methods, routes to chaos and applications.
Credit hours: 3
Prerequisite(s): Undergraduate modern theory of ordinary differential equations.