Mth 523 Theory of Ordinary Differential Equations III

The two-body problem. The Lorenz system. Homoclinic bifurcations. Chaotic attractors. Horseshoes. Symbolic dynamics and the shift map. Discrete dynamics. Additional topics. This is the third course in a sequence of three: Mth 521, Mth 522, and Mth 523 which must be taken in sequence.