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Chaos in a linear array of vortices

Published online by Cambridge University Press:  26 April 2006

P. Tabeling ,
O. Cardoso  and
B. Perrin
P. Tabeling
Affiliation:
Groupe de Physique des Solides de l'Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris, France
O. Cardoso
Affiliation:
Groupe de Physique des Solides de l'Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris, France
B. Perrin
Affiliation:
Groupe de Physique des Solides de l'Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris, France
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Abstract

An experimental study of the onset of chaos in a linear array of forced vortices is presented. The vortices are driven by electromagnetic forces in a layer of electrolyte. The system is found to behave like a chain of nonlinearly coupled oscillators, each oscillator being sustained by a pair of vortices. Systems with a small number of vortices exhibit scenarios characterized by a small number of degrees of freedom. Increasing the number of vortices leads to a rapid increase of the complexity of the regimes of transition to chaos. For moderately long systems, quasi-periodicity preceding the onset of chaos and intermittent behaviour is observed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 213 , April 1990 , pp. 511 - 530
Copyright
© 1990 Cambridge University Press

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