English

A blue sky catastrophe in double-diffusive convection

Chaotic Dynamics 2009-11-10 v1

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.

Keywords

Cite

@article{arxiv.nlin/0405062,
  title  = {A blue sky catastrophe in double-diffusive convection},
  author = {Esteban Meca and Isabel Mercader and Oriol Batiste and Laureano Ramirez-Piscina},
  journal= {arXiv preprint arXiv:nlin/0405062},
  year   = {2009}
}

Comments

4 pages, 6 figures, REVTeX, To be published in Physical Review Letters

R2 v1 2026-07-22T18:12:21.696Z