Blue Sky Catastrophe in Double-Diffusive Convection
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.
- Publication:
-
Physical Review Letters
- Pub Date:
- June 2004
- DOI:
- 10.1103/PhysRevLett.92.234501
- arXiv:
- arXiv:nlin/0405062
- Bibcode:
- 2004PhRvL..92w4501M
- Keywords:
-
- 47.27.Te;
- 47.20.Ky;
- 44.25.+f;
- Nonlinearity bifurcation and symmetry breaking;
- Natural convection;
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- 4 pages, 6 figures, REVTeX, To be published in Physical Review Letters