Bifurcations from Strogatz’ Nonlinear Dynamics and Chaos
The following models are replicated from Steven Strogatz’ excellent text, Nonlinear Dynamics and Chaos. These are just a few of the many models in the text. They illustrate bifurcations in one-dimensional systems (saddle node, transcritical, pitchfork) and one two-dimensional system (Hopf). The pitchfork bifurcation is closely related to the cusp catastrophe in the climate model … Continue reading “Bifurcations from Strogatz’ Nonlinear Dynamics and Chaos”