AppDynSys : Bifurcations : 2-D Bogdanov-Takens

This is a simulation of a Bogdanov-Takens bifurcation -- an unusual and fascinating bifurcation of 2-d continuous time systems, in which one has a double-zero eigenvalue. It's a bit difficult to explain what's going on, but there is a 2-d parameter space; a curve of saddle-node bifurcations; a curve of Hopf bifurcations; and a curve of homoclinic bifurcations.