Linear systems, classification. Nonlinear systems: Existence and uniqueness. Flow and one parameter groups of transformations. Stability theory. Hyperbolicity, Unstable/Stable/Center manifold theorems. Poincare-Bendixson.
This course may not be repeated for credit.
Prerequisite(s)
- Applied Mathematics 411[AMAT411] and Pure Mathematics 445[PMAT445] or 545[PMAT545] or equivalents.
SyllabusSections
This course will be offered next in
Fall 2012.