Dynamics of point vortices in a special rotating frame

I. Kunin, F. Hussain, Z. Zhou, D. Kovich

Research output: Contribution to journalLetterpeer-review

3 Scopus citations

Abstract

A special rotating frame (SRF) is found in which the relative motion of point vortices is simpler, has minimum energy and reveals dynamical features not discernible in the usual fixed frame. The angular velocity of this frame is a solution of the equations of motion and generally is not constant. Examples of periodic, quasiperiodic and chaotic motions with respect to the SRF show that: (a) periodic orbits are closed lines (not space filling as in the fixed frame, (b) quasiperiodic orbits form steady patterns and (c) chaotic motions create asymptotic symmetries that reflect permutation symmetry of the Hamiltonian.

Original languageEnglish
Pages (from-to)965-970
Number of pages6
JournalInternational Journal of Engineering Science
Volume28
Issue number9
DOIs
StatePublished - 1990

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