Integrable four vortex motion
- 1 October 1988
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 31 (10) , 2796-2801
- https://doi.org/10.1063/1.867025
Abstract
It follows from the Poisson brackets between constants of motion that the motion of four vortices of zero net vorticity is integrable if the total momentum vanishes. The phase space motion of this integrable case is analyzed. One stable and several unstable uniformly rotating configurations are identified.Keywords
This publication has 10 references indexed in Scilit:
- On Aref's vortex motions with a symmetry centerPhysica D: Nonlinear Phenomena, 1985
- CHAOS IN THE DYNAMICS OF A FEW VORTICES - FUNDAMENTALS AND APPLICATIONSPublished by Elsevier ,1985
- Stirring by chaotic advectionJournal of Fluid Mechanics, 1984
- Regular and Stochastic MotionPublished by Springer Nature ,1983
- Integrable, Chaotic, and Turbulent Vortex Motion in Two-Dimensional FlowsAnnual Review of Fluid Mechanics, 1983
- Point vortex motions with a center of symmetryPhysics of Fluids, 1982
- Integrable and chaotic motions of four vortices. I. The case of identical vorticesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1982
- Quasi-periodic motions of vortex systemsPhysica D: Nonlinear Phenomena, 1982
- STOCHASTIZATION AND COLLAPSE OF VORTEX SYSTEMSAnnals of the New York Academy of Sciences, 1980
- Motion of three vorticesPhysics of Fluids, 1979