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:
3.0
Course Description Download:
Textbook
Title:
Geometrical Methods in the Theory of Ordinary Differential Equations (recommended, not required)
Edition:
2nd
Publisher:
Springer
ISBN:
9780387966496