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  • American Physical Society (APS)
  • American Chemical Society (ACS)
  • 2000-2004  (2)
  • 1
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    Chaos from Hopf Bifurcation in a fluid flow experiment (2004)
    American Physical Society (APS)
    In:  Physical Review E, 70 (046209).
    Details
    Publication Date: 2019-02-27
    Description: Results of an experimental study of a Hopf bifurcation with broken translation symmetry that organizes chaotic homoclinic dynamics from a T2 torus in a fluid flow as a direct consequence of physical boundaries are presented. It is shown that the central features of the theory of Hopf bifurcation in O(2)-symmetric systems where the translation symmetry is broken are robust and are appropriate to describe the appearance of modulated waves, homoclinic bifurcation, Takens-Bogdanov point, and chaotic dynamics in a fluid flow experiment.
    Type: Article , PeerReviewed
    Format: text
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  • 2
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    Standing waves in flow between finite counter-rotations cylinders (2003)
    American Physical Society (APS)
    In:  Physical Review E, 68 (056308).
    Details
    Publication Date: 2017-01-03
    Description: Experimental evidence for standing waves resulting from a supercritical Hopf bifurcation that appears as the first pattern-forming instability in counterrotating Taylor-Couette flow is presented. Depending on the aspect ratio two different types of standing waves, denoted as SW0 and SWp, could be observed. Both modes have an azimuthal wave number m51 but differ in symmetry. While for SWp , a spatiotemporal glide-reflection symmetry could be found, SW0 is purely spatial reflection symmetric. The transition between the two modes is found to be organized in a cusp bifurcation unfolded by variations of the aspect ratio. The ‘‘classical’’ spiral vortex flow appears in this control parameter regime only as a result of a secondary steady bifurcation from SW0. This transition is found to be either subcritical or supercritical. The experimentally observed bifurcation structure has been predicted by theory of Hopf bifurcation to spiral vortex flow in finite counterrotating Taylor-Couette systems.
    Type: Article , PeerReviewed
    Format: text
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