Preprint of the project:

01-01 Yong-Kui Zou, Yan She.
Homoclinic bifurcation properties near a figure-eight homoclinic orbit


In this paper we investigate the homoclinic bifurcation properties near a co-dimension two figure-eight homoclinic orbit of a planar dynamical system. The corresponding local bifurcation diagram is also illustrated by numerical computation.