Mathematics 645 - Diff Eq&Dynmc Sys I
Fall
2019
01
3.00
Matthew Dobson
TU TH 10:00AM 11:15AM
UMass Amherst
30281
Lederle Grad Res Tower rm 1234
dobson@math.umass.edu
Classical theory of ordinary differential equations and some of its modern developments in dynamical systems theory. Linear systems and exponential matrix solutions. Well-posedness for nonlinear systems. Qualitative theory: limit sets, invariant set and manifolds. Stability theory: linearization about an equilibrium, Lyapunov functions. Autonomous two-dimensional systems and other special systems. Prerequisites: advanced calculus, linear algebra and basic ODE.
Open to Graduate students only.