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Heteroclinic dynamics in the nonlocal parametrically driven nonlinear Schrödinger equation
2002
Physica D : Non-linear phenomena
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
doi:10.1016/s0167-2789(01)00368-2
fatcat:bfsalwqnpjhtxojf57f4mz2qea