2019-03-13T11:19:14Z2019-03-13T11:19:14Zhttp://oa.upm.es/id/eprint/53466This item is in the repository with the URL: http://oa.upm.es/id/eprint/534662019-03-13T11:19:14ZHeteroclinic dynamics in the parametrically driven nonlocal SchrÃ¶dinger equationFaraday waves are described, under appropriate conditions, by a damped nonlocal parametrically driven nonlinear SchrÃ¶dinger equation. As the strength of the applied forcing increases this equation undergoes a sequence of transitions to chaotic dynamics. The origin of these transitions is explained using a careful study of a two-mode Galerkin truncation and linked to the presence of heteroclinic connections between the trivial state and spatially periodic standing waves. These connections are associated with cascades of gluing and symmetry-switching bifurcations; such bifurcations are located in the partial differential equations as well.Maria Jesus Higuera TorronJeffrey Brent PorterEdgar Knobloch