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Journal articles

Primary and secondary Hopf bifurcations in stratified Taylor Couette flow.

François Caton 1, * Béatrice Janiaud Emil J. Hopfinger 2
* Corresponding author
1 LR - Laboratoire de rhéologie
2 LEGI - Laboratoire des Écoulements Géophysiques et Industriels [Grenoble]
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.
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https://hal.archives-ouvertes.fr/hal-00342028
Contributor : François Caton Connect in order to contact the contributor
Submitted on : Wednesday, November 26, 2008 - 3:34:37 PM
Last modification on : Wednesday, October 20, 2021 - 12:58:10 AM

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  • HAL Id : hal-00342028, version 1

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François Caton, Béatrice Janiaud, Emil J. 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⟩

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