Mathematics 645 - Diff Eq&Dynmc Sys I
Fall
2021
01
3.00
Jiayu Zhai
M W 2:30PM 3:45PM
UMass Amherst
17541
Lederle Grad Res Tower rm 1234
jiayuzhai@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.