Apr 03, 2025  
Graduate Record 2006-2007 
    
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Graduate Record 2006-2007 [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