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Amplitude equations close to a triple-(+1) bifurcation point of D4-symmetric periodic orbits in O(2) equivariant systems
Cita
Sánchez, Juan; Net, Marta y Vega de Prada, José Manuel (2006). Amplitude equations close to a triple-(+1) bifurcation point of D4-symmetric periodic orbits in O(2) equivariant systems. "Discrete and Continuous Dynamical Systems Series B", v. 6 (n. 6); pp. 1-24. ISSN 1531-3492. https://doi.org/10.3934/dcdsb.2006.6.1357.
Descripción
| Título: | Amplitude equations close to a triple-(+1) bifurcation point of D4-symmetric periodic orbits in O(2) equivariant systems |
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| Autor/es: |
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| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | Discrete and Continuous Dynamical Systems Series B |
| Fecha: | Noviembre 2006 |
| ISSN: | 1531-3492 |
| Volumen: | 6 |
| Materias: | |
| Palabras Clave Informales: | Amplitude equations, symmetric periodic orbits, thermal convection. |
| Escuela: | E.T.S.I. Aeronáuticos (UPM) [antigua denominación] |
| Departamento: | Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014] |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada - No comercial |
Resumen
A two-dimensional thermal convection problem in a circular annulus subject to a constant inward radial gravity and heated from the inside is considered. A branch of spatio-temporal symmetric periodic orbits that are known only numerically shows a multi-critical codimension-two point with a triple +1-Floquet multiplier. The weakly nonlinear analysis of the dynamics near such point is performed by deriving a system of amplitude equations using a perturbation technique, which is an extension of the Lindstedt-Poincaré method, and solvability conditions. The results obtained using the amplitude equation are compared with those from the original system of partial differential equations showing a very good agreement.
Más información
| ID de Registro: | 6088 |
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| Identificador DC: | http://oa.upm.es/6088/ |
| Identificador OAI: | oai:oa.upm.es:6088 |
| Identificador DOI: | 10.3934/dcdsb.2006.6.1357 |
| URL Oficial: | http://aimsciences.org/journals/displayArticles.jsp?paperID=1950 |
| Depositado por: | Memoria de Investigacion 2 |
| Depositado el: | 18 Feb 2011 12:33 |
| Ultima Modificación: | 20 Abr 2016 14:43 |
