Blue Sky Catastrophe in Double-Diffusive Convection

Phys. Rev. Lett. 92, 234501 – Published 11 June 2004
Esteban Meca, Isabel Mercader, Oriol Batiste, and Laureano Ramírez-Piscina

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.

DOI: http://dx.doi.org/10.1103/PhysRevLett.92.234501

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  • Received 10 September 2003
  • Published 11 June 2004
  • Publisher error corrected 15 June 2004

© 2004 The American Physical Society

Authors & Affiliations

Esteban Meca*, Isabel Mercader, Oriol Batiste, and Laureano Ramírez-Piscina

  • Departament de Física Aplicada, Universitat Politècnica de Catalunya, Jordi Girona 1-3, E-08034 Barcelona, Spain

  • *Electronic address: esteban@fa.upc.es

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