Primary and secondary Hopf bifurcations in stratified Taylor Couette flow.

Abstract : Experimental and theoretical results for the axially, stably stratified Taylor-Couette flow are presented. The primary instability is a direct Hopf bifurcation. It leads the system into an oscillatory state of confined internal waves, in good agreement with linear stability analysis. The secondary bifurcation, which leads the system to a pattern of drifting nonaxisymmetric vortices, is a subcritical Hopf bifurcation. This first experimental evidence of a global bifurcation is thought to be generic to dynamical systems with one destabilizing and one stabilizing control parameter.
Type de document :
Article dans une revue
Physical Review Letters, American Physical Society, 1999, 83 (23), pp.4647-4650
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00342028
Contributeur : François Caton <>
Soumis le : mercredi 26 novembre 2008 - 15:34:37
Dernière modification le : vendredi 22 novembre 2013 - 13:16:27

Identifiants

  • HAL Id : hal-00342028, version 1

Collections

LEGI | LRP | UGA

Citation

François Caton, Béatrice Janiaud, Emil Hopfinger. Primary and secondary Hopf bifurcations in stratified Taylor Couette flow.. Physical Review Letters, American Physical Society, 1999, 83 (23), pp.4647-4650. 〈hal-00342028〉

Partager

Métriques

Consultations de la notice

139