Drs. Andrey Shilnikov and Dima Turаev accepted the invitation on 11 March 2007 (self-imposed deadline: 31 August 2008).
Homoclinic trajectory is a bi-asymptotic one converging to a saddle-like orbit as time goes to plus/minus
Figure 1: Homoclinic orbits of a saddle.
Figure 2: Homoclinic orbits of a saddle.