Method of averaging, Melnikov functions, hyperbolic structure, symbolic dynamics, homoclinic and heteroclinic orbits, global bifurcations, infinite dimensional dynamical systems, inertial manifolds, Lyapunov exponents and dimension of attractors, codimension-two bifurcations, Duffing’s equation, Lorenz equations, finite dimensional systems of dimension at least three.

Credit Hours: (3)
Prerequisite(s): MATH 8275 or permission of department.

Schedule of Classes

Facebook this Page (opens a new window)

Tweet this Page (opens a new window)

Add to Catalog Bookmarks (opens a new window)