Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points
We study dynamics in a neighborhood of a nonhyperbolic fixed point or an irreducible homoclinic tangent point. General type conditions for the existence of infinite sets of periodic points are obtained. A new method, based on the study of the dynamics of center disks, is introduced. (C) 2012 IMACS. Published by Elsevier B.V. All rights reserved.
homoclinic point partial hyperbolicity center unstable manifold chaos