Linear systems, classification, genericity and structural stability. Nonlinear systems: Existence and uniqueness. Rectification Theorem. Flow and one parameter group of transformation. Stability theory. Hyperbolicity, Unstable/Stable/Center manifold theorems. Poincare-Bendixon. Two dimensional flows.
This course may not be repeated for credit.
Prerequisite(s)
- Applied Mathematics 411 or equivalent.
Sections
This course will be offered next in
Winter 2007.