CDS 140a -- Fall 2009
Introduction to Dynamical Systems
9 units (3-0-6); first term. Prerequisite: ACM 95 or equivalent
Basic theory of dynamical systems in Euclidean space, including equilibria, stability, Lyapunov functions, periodic solutions, Poincaré–Bendixon theory, Poincaré maps. The Euler–Lagrange equations, mechanical systems, dissipation, energy as a Lyapunov function, and simple conservation laws. Introduction to basic bifurcations and eigenvalue crossing conditions. Discussion of bifurcations in applications, invariant manifolds, the method of averaging, Melnikov's method, and the Smale horseshoe.
will be held on Tuesday's at 4-5pm in 142 Keck. Office hours on Tuesdays 5-6pm and by appointment in Steele Rm 3 (in the basement).