This course will consider both discrete and continuous dynamics. In any given year it will include most of the following topics: Linear and nonlinear systems; Bifurcation theory, routes to chaos, symbolic dynamics, Sharkovii's theorem and chaos. Existence and uniqueness theory and dependence on data; Hartman-Grobman and Poincaré-Bendixson theorems, Lyapunov stability theory and stable manifold theory. Offered jointly with CGU and HMC.
2013 Claremont Graduate University 
150 E. 10th St., Claremont, CA 91711 