Bifurcation diagram

Summary

A bifurcation diagram is a picture of how the long-term behaviour of a one-parameter family of dynamical systems depends on the parameter. The parameter runs along the horizontal axis, and above each value one plots the equilibria, periodic orbits or attractor of the system. Branches that split, merge or end mark the bifurcations studied by bifurcation theory. The best known example is the diagram of the logistic map, with its cascade of period doublings.