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Abstract:

We study the Kuramoto-Sivashinky equation with periodic boundary conditions in the case of low-dimensional behavior. We analyze the bifurcations that occur in a six-dimensional (6D) approximation of its inertial manifold. We mainly focus on the attracting and structurally stable heteroclinic connections that arise for these parameter values. We reanalyze the ones that were previously described via a 4D reduction to the center-unstable manifold (Ambruster et al., 1988, 1989). We also find a parameter region for which a manifold of structurally stable heteroclinic cycles exist. The existence of such a manifold is responsible for an intermittent behavior which has some features of unpredictability. Copyright © 1997 Elsevier Science B.V. All rights reserved.

Registro:

Documento: Artículo
Título:Collections of heteroclinic cycles in the Kuramoto-Sivashinsky equation
Autor:Dawson, S.P.; Mancho, A.M.
Filiación:Departamento de Física and IAFE, Facultad de Ciencias Exactas y Naturales (UBA), Pabellón I, 1428 Buenos Aires, Argentina
Departamento de Física y Matemática Aplicada, Universidad de Navarra, E-31080 Pamplona, Spain
Palabras clave:Attracting heteroclinic cycles; Kuramoto-Sivashinsky
Año:1997
Volumen:100
Número:3-4
Página de inicio:231
Página de fin:256
DOI: http://dx.doi.org/10.1016/S0167-2789(96)00209-6
Título revista:Physica D: Nonlinear Phenomena
Título revista abreviado:Phys D Nonlinear Phenom
ISSN:01672789
CODEN:PDNPD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01672789_v100_n3-4_p231_Dawson

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Citas:

---------- APA ----------
Dawson, S.P. & Mancho, A.M. (1997) . Collections of heteroclinic cycles in the Kuramoto-Sivashinsky equation. Physica D: Nonlinear Phenomena, 100(3-4), 231-256.
http://dx.doi.org/10.1016/S0167-2789(96)00209-6
---------- CHICAGO ----------
Dawson, S.P., Mancho, A.M. "Collections of heteroclinic cycles in the Kuramoto-Sivashinsky equation" . Physica D: Nonlinear Phenomena 100, no. 3-4 (1997) : 231-256.
http://dx.doi.org/10.1016/S0167-2789(96)00209-6
---------- MLA ----------
Dawson, S.P., Mancho, A.M. "Collections of heteroclinic cycles in the Kuramoto-Sivashinsky equation" . Physica D: Nonlinear Phenomena, vol. 100, no. 3-4, 1997, pp. 231-256.
http://dx.doi.org/10.1016/S0167-2789(96)00209-6
---------- VANCOUVER ----------
Dawson, S.P., Mancho, A.M. Collections of heteroclinic cycles in the Kuramoto-Sivashinsky equation. Phys D Nonlinear Phenom. 1997;100(3-4):231-256.
http://dx.doi.org/10.1016/S0167-2789(96)00209-6