MATH 7412.01: Ordinary Differential Equations II
Topological equivalence of nonlinear systems; normal forms of Poincare-Dulac-Birkhoff; classification of vector fields near critical points; local bifurcation theory; topological dynamics; limit sets; flows on the torus. Prereq: 6451. Not open to students with credit for 7412.02.
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Geometrical Methods in the Theory of Ordinary Differential Equations (recommended, not required)