Mathematics 645 - Diff Eq&Dynmc Sys I
Fall
2023
01
3.00
Qian-Yong Chen
M W F 12:20PM 1:10PM
UMass Amherst
80172
Lederle Grad Res Tower rm 1234
cqy@cns.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.