title: Heteroclinic bifurcations and chaotic transport in the two-harmonic standard map.
abstract: We study a two-parameter family of standard maps: the so-called two-harmonic family. In particular, we study the areas of lobes formed by the stable and unstable manifolds. Variational methods are used to find heteroclinic orbits and their action. A specific pair of heteroclinic orbits is used to define a difference in action function and to study bifurcations in the stable and unstable manifolds. Using this idea, two phenomena are studied: the change of orientation of lobes and tangential intersections of stable and unstable manifolds.
authors.affiliation: Department of Mathematics, Instituto Tecnológico Autónomo de México ITAM, Río Hondo #1, México DF 01000.
authors.forename: Héctor E
authors.initials: HE
authors.lastname: Lomelí
authors.forename: Renato
authors.initials: R
authors.lastname: Calleja