This is lecture 20 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.
It discusses the Hopf bifurcation and explores whether such a mechanism might underlie the mid-Pleistocene transition. The question is explored in the context of the Salzman-Maasch model. In light of Oestreicher's work on forced dynamic Hopf bifurcations, it is concluded that too many coincidences might be required for this explanation. Pitchfork bifurcations are also discussed.
University of North Carolina at Chapel Hill Mathematics