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Heteroclinic dynamics in the parametrically driven nonlocal Schrödinger equation
Citation
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.
Description
| 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 |
Abstract
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.
More information
| 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 |
