MCSC 7240G - Advanced Topics in Dynamical Systems

This course builds on the topics covered in MCSC 6140G. The course covers advanced material, including recently developed tools, for the analysis of dynamical systems. By the end of the course, students are expected to be able to perform a bifurcation analysis of models that they will encounter in research or industry, including judging when such analysis is appropriate, choosing the right tools and interpreting the results. The topics are chosen according to the needs and demands of the students. Potential topics include equivariant bifurcation theory and applications; bifurcations in delay and partial differential equations; numerical continuation of bifurcations for ordinary, delay and partial differential equations; and bursting in biological phenomena and other systems.
Credit hours: 3
Prerequisite(s): MCSC 6140G and MCSC 6020G.