Primary and Secondary Hopf Bifurcations in Stratified Taylor-Couette Flow
Authors:
- 7 June 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 82 (23) , 4647-4650
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.Keywords
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