Homoclinic Orbit

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

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