Blue sky catastrophe in double-diffusive convection

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, fo...

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Veröffentlicht in:Physical review letters 2004-06, Vol.92 (23), p.234501.1-234501.4, Article 234501
Hauptverfasser: MECA, Esteban, MERCADER, Isabel, BATISTE, Oriol, RAMIREZ-PISCINA, Laureano
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container_title Physical review letters
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creator MECA, Esteban
MERCADER, Isabel
BATISTE, Oriol
RAMIREZ-PISCINA, Laureano
description 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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subjects Chaos
Convection and heat transfer
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hydrodynamic stability
Nonlinearity (including bifurcation theory)
Physics
Turbulent flows, convection, and heat transfer
title Blue sky catastrophe in double-diffusive convection
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