Modelling with nonlinear systems of ODE's. Stability and bifurcation theory including the Hopf bifurcation and limit cycles. Homoclinic & heteroclinic orbits and Mel'nikov theory. Stability, bifurcation theory and chaos in I-dimensional Maps. Period doubling. Feigenbaum's approach to chaos. Properties of chaos. The Lorenz Equations -- Course Website
Instructor: Dr Cathy Holmes ([email protected])
