Bifurcation structure of interval maps with orbits homoclinic to a saddle-focus

Carter Hinsley, James Scully, Andrey L. Shilnikov

We study homoclinic bifurcations in an interval map associated with a saddle-focus of (2, 1)-type in ${\mathbb{Z}}_2$-symmetric systems. Our study of this map reveals the homoclinic…