Stability of oscillating hexagons in rotating convection
Breaking the chiral symmetry, rotation induces a secondary Hopf bifurcation in weakly nonlinear hexagon patterns which gives rise to oscillating hexagons. We study the stability of the oscillating hexagons using three coupled Ginzburg–Landau equations. Close to the bifurcation point, we derive reduc...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2000 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/131274 |
| Acceso en línea: | https://hdl.handle.net/2117/131274 https://dx.doi.org/10.1016/S0167-2789(00)00101-9 |
| Access Level: | acceso abierto |
| Palabra clave: | Nonlinear systems Nonlinear oscillations Hexagon patterns Rotating convection Ginzburg–Landau equation Phase equation Side-band instabilities Spatio-temporal chaos Traveling waves Sistemes no lineals Oscil·lacions no lineals Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics |
| Sumario: | Breaking the chiral symmetry, rotation induces a secondary Hopf bifurcation in weakly nonlinear hexagon patterns which gives rise to oscillating hexagons. We study the stability of the oscillating hexagons using three coupled Ginzburg–Landau equations. Close to the bifurcation point, we derive reduced equations for the amplitude of the oscillation, coupled to the phase of the underlying hexagons. Within these equations, we identify two types of long-wave instabilities and study the ensuing dynamics using numerical simulations of the three coupled Ginzburg–Landau equations. |
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