corner
corner

Phys. Rev. Lett. 92, 234501 (2004) [4 pages]

Blue Sky Catastrophe in Double-Diffusive Convection

Download: PDF (202 kB) Buy this article Export: BibTeX or EndNote (RIS)

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

See Also: Publisher's Note

Received 10 September 2003; published 11 June 2004; publisher error corrected 15 June 2004

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.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.92.234501
DOI:
10.1103/PhysRevLett.92.234501
PACS:
47.27.Te, 47.20.Ky, 44.25.+f

*Electronic address: esteban@fa.upc.es

See Also

Publisher's Note: Esteban Meca, Isabel Mercader, Oriol Batiste, and Laureano Ramirez-Piscina, Publisher’s Note: Blue Sky Catastrophe in Double-Diffusive Convection [Phys. Rev. Lett. 92, 234501 (2004)], Phys. Rev. Lett. 92, 259901 (2004).