You are here
Home / Methods in Applied Mathematics: Dynamical Systems and Differential Equations
APPM-5460 (3) Methods in Applied Mathematics: Dynamical Systems and Differential Equations
Introduces the theory and applications of dynamical systems through solutions to differential equations.Covers existence and uniqueness theory, local stability properties, qualitative analysis, global phase portraits, perturbation theory, and bifurcation theory. Special topics may include Melnikov methods, averaging methods, bifurcations to chaos, and Hamiltonian systems. Department enforced prereqs., APPM 2360 and 3310 and 4440. Requisites: Restricted to graduate students only.