Homoclinic tangles for noninvertible maps (Q1570975)

The paper deals with of chaotic dynamics. One of the principal indication to that in deterministic systems is the existence of transverse homoclinic orbits. Here the author examines the existence of homoclinic tangles and the associated dynamic behavior for noninvertible maps. In particular, she gives examples of maps which have transverse intersection of stable and unstable manifolds, but no horseshoe. Moreover she shows that this is a codimension two phenomena.