Nonlinear Differentl Equations

3 Credits · Level: Undergraduate

Nonlinearity is one of the major themes of modern mathematics, with applications in virtually every field. This course introduces key concepts of nonlinear dynamics through ordinary differential equations, preparing students for applied work in physics, biology, economics and many other fields, as well as for graduate-level study of dynamical systems. Topics include flows on the line, circle, plane and torus; limit cycles; bifurcations of one- and two-dimensional systems; and chaos.