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A blue sky catastrophe in double-diffusive convection

Esteban Meca·Isabel Mercader·Oriol Batiste·Laureano Ramirez-Piscina
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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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Esteban Meca, Isabel Mercader, Oriol Batiste, Laureano Ramirez-Piscina. 2004-05-27. A blue sky catastrophe in double-diffusive convection. https://doi.org/10.1103/physrevlett.92.234501

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