Ordinary Differential Equations

Prerequisites: (CASMA 242 & CASMA 511 & CASMA 512) or equivalent, or consent of instructor.- Stable and center manifolds theorem, linearization of vector fields, variational equations, Floquet theory and Poincare maps for periodic orbits, bifurcation of rest points, averaging theory, topics from singular perturbations, Hamiltonian systems, nonlinear oscillations, normal forms, and applications.