]>
The repository administrator has not yet configured an RDF license.
INVE_MEM_2002126876.pdf
lightbox.jpg
preview.jpg
medium.jpg
small.jpg
indexcodes.txt
text/html
HTML Summary of #53466
Heteroclinic dynamics in the parametrically driven nonlocal Schrödinger equation
Heteroclinic dynamics in the parametrically driven nonlocal Schrödinger equation (PDF)
Heteroclinic dynamics in the parametrically driven nonlocal Schrödinger equation (Other)
Heteroclinic dynamics in the parametrically driven nonlocal Schrödinger equation (Other)
Heteroclinic dynamics in the parametrically driven nonlocal Schrödinger equation (Other)
Heteroclinic dynamics in the parametrically driven nonlocal Schrödinger equation (Other)
Heteroclinic dynamics in the parametrically driven nonlocal Schrödinger equation (Other)
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.
3-4
162
2002-02
Heteroclinic dynamics in the parametrically driven nonlocal Schrödinger equation
Matemáticas
Mathematics
Mechanics
Mecánica
Elsevier
Higuera Torron
Maria Jesus
Maria Jesus Higuera Torron
Porter
Jeffrey Brent
Jeffrey Brent Porter
Knobloch
Edgar
Edgar Knobloch
01672789
Physica D : Nonlinear Phenomena