Chaos from Hopf Bifurcation in a fluid flow experiment.

Langenberg, J., Pfister, G. and Abshagen, Jan (2004) Chaos from Hopf Bifurcation in a fluid flow experiment. Physical Review E, 70 (046209). DOI 10.1103/PhysRevE.70.046209.

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Abstract

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.

Document Type: Article
Keywords: Chaos, Hopf Bifurcation, fluid flow experiment
Research affiliation: OceanRep > GEOMAR > FB1 Ocean Circulation and Climate Dynamics > FB1-TM Theory and Modeling
Kiel University
Refereed: Yes
Open Access Journal?: No
DOI etc.: 10.1103/PhysRevE.70.046209
ISSN: 1539-3755
Date Deposited: 24 Mar 2009 17:31
Last Modified: 27 Feb 2019 11:01
URI: http://oceanrep.geomar.de/id/eprint/5458

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