Catastrophic Bifurcation: the Fold
From panel 18.1.8 on p. 517 of Dynamics, the Geometry of Behavior bu Ralph H. Abraham and Christopher D. Shaw, 4th edn. Santa Cruz, CA: Aerial Press, 2000.
The simplest example of a catastrophic bifurcation.
Discovered by Henri Poincare ca 1880.
A point attractor of a flow in one dimension
appears out of the blue.
Revised 09 November 2000 by Ralph Herman Abraham