Subtle Bifurcation: the Hopf

From panel 17.1.7 on p. 495 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 subtle bifurcation. Discovered by Henri Poincare ca 1880. A point attractor of a flow in two dimensions subtly changes into a periodic attractor.
Revised 09 November 2000 by Ralph Herman Abraham