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Ordinary Differential Equations II

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.
Credit Hours

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Title: Geometrical Methods in the Theory of Ordinary Differential Equations (recommended, not required)
Edition: 2nd
Author: Arnold
Publisher: Springer
ISBN: 9780387966496