Chaos in the dynamics of a few vortices - Fundamentals and applications
Abstract
The emergence for small N of chaotic dynamics in the N-vortex problem is reviewed. Vortex systems on the unbounded plane, vortex systems confined by boundaries and various 'restricted' problems are discussed. Results of relevance to applications are highlighted.
- Publication:
-
IN: Theoretical and applied mechanics; Proceedings of the Sixteenth International Congress
- Pub Date:
- 1985
- Bibcode:
- 1985tham.proc...43A
- Keywords:
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- Chaos;
- Fluid Mechanics;
- Two Dimensional Flow;
- Vortices;
- Advection;
- Hamiltonian Functions;
- Helmholtz Equations;
- Hydrodynamic Equations;
- Poincare Problem;
- Fluid Mechanics and Heat Transfer