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Higuera Torron, Maria Jesus and Porter, Jeffrey Brent and Knobloch, Edgar (2002). Heteroclinic dynamics in the parametrically driven nonlocal Schrödinger equation. "Physica D : Nonlinear Phenomena", v. 162 (n. 3-4); pp. 155-187. ISSN 0167-2789. https://doi.org/10.1016/S0167-2789(01)00368-2.
Title: | Heteroclinic dynamics in the parametrically driven nonlocal Schrödinger equation |
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Author/s: |
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Item Type: | Article |
Título de Revista/Publicación: | Physica D : Nonlinear Phenomena |
Date: | February 2002 |
ISSN: | 0167-2789 |
Volume: | 162 |
Subjects: | |
Freetext Keywords: | Parametric instability; Nonlinear Schrödinger equation; Global bifurcation |
Faculty: | E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM) |
Department: | Matemática Aplicada a la Ingeniería Aeroespacial |
Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
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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.
Item ID: | 53466 |
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DC Identifier: | https://oa.upm.es/53466/ |
OAI Identifier: | oai:oa.upm.es:53466 |
DOI: | 10.1016/S0167-2789(01)00368-2 |
Official URL: | https://www.sciencedirect.com/science/article/pii/S0167278901003682 |
Deposited by: | Memoria Investigacion |
Deposited on: | 13 Mar 2019 11:19 |
Last Modified: | 13 Mar 2019 11:19 |