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Blue sky catastrophe in double-diffusive convection
Authors:Meca Esteban  Mercader Isabel  Batiste Oriol  Ramírez-Piscina Laureano
Affiliation:Departament de Física Aplicada, Universitat Politècnica de Catalunya, Jordi Girona 1-3, E-08034 Barcelona, Spain. esteban@fa.upc.es
Abstract:A global bifurcation of the blue sky catastrophe type has been found in a small Prandtl number binary mixture contained in a laterally heated cavity. The system has been studied numerically applying the tools of bifurcation theory. The catastrophe corresponds to the destruction of an orbit which, for a large range of Rayleigh numbers, is the only stable solution. This orbit is born in a global saddle-loop bifurcation and becomes chaotic in a period-doubling cascade just before its disappearance at the blue sky catastrophe.
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