TY - JOUR
ID - upm53466
UR - https://www.sciencedirect.com/science/article/pii/S0167278901003682
IS - 3-4
A1 - Higuera Torron, Maria Jesus
A1 - Porter, Jeffrey Brent
A1 - Knobloch, Edgar
Y1 - 2002/02//
N2 - Faraday waves are described, under appropriate conditions, by a damped nonlocal parametrically driven nonlinear Schrödinger 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.
PB - Elsevier
JF - Physica D : Nonlinear Phenomena
VL - 162
KW - Parametric instability; Nonlinear Schrödinger equation; Global bifurcation
SN - 0167-2789
TI - Heteroclinic dynamics in the parametrically driven nonlocal Schrödinger equation
SP - 155
AV - public
EP - 187
ER -