On multiple routes to chaos in advection induced by point vortices

I. Kunin, F. Hussain, X. Zhou

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Chaotic advection induced by periodic motions of point vortices inside and outside of a circular domain and in the infinite plane is analyzed. Though simple, this model flow captures multiple routes to chaos and gives a good qualitative picture of advection in more complicated domains such as rectangle and ellipse. Different scenarios of chaotic advection depend on the topology of unperturbed phase portraits and type of perturbations. In addition to the typical KAM cases, we find scenarios accounting for inherent singularity of the velocity field.

Original languageEnglish
Pages (from-to)459-464
Number of pages6
JournalInternational Journal of Engineering Science
Volume41
Issue number3-5
DOIs
StatePublished - Mar 2003

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