User:Eugene M. Izhikevich/Proposed/Homoclinic orbit

• Andrey Shilnikov, Dept Mathematics, GSU, Atlanta, GA

• Dr. Dmitry Turaev, Ben Gurion University

• Leonid Pavlovich Shilnikov, Institute for Applied Mathematics and Cybernetics, Nizhni Novgorod, Russia

Drs. Andrey Shilnikov and Dima Turаev accepted the invitation on 11 March 2007 (self-imposed deadline: 31 August 2008).

In preparation

Homoclinic trajectory is a bi-asymptotic one converging to a saddle-like orbit as time goes to plus/minus infinity.

Figure 1: Homoclinic orbits of a saddle.

Figure 2: Homoclinic orbits of a saddle.