Apr 12, 2021  
Graduate Record 2007-2008 
Graduate Record 2007-2008 [ARCHIVED RECORD]

MATH 525 - Advanced Ordinary Differential Equations

Studies the qualitative geometrical theory of ordinary differential equations. Includes basic well posedness; linear systems and periodic systems; stability theory; perturbation of linear systems; center manifold theorem; periodic solutions and Poincaré-Bendixson theory; Hopf bifurcation; introduction to chaotic dynamics; control theoretic questions; differential geometric methods. (IR)

Prerequisites & Notes
Prerequisite: MATH 231, 325, 351 or instructor permission.

Credits: 3