Hamiltonian scattering chaos in a hydrodynamical system
- 21 July 1992
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 25 (14) , 3929-3943
- https://doi.org/10.1088/0305-4470/25/14/012
Abstract
The dynamics of chaotic scattering in Hamiltonian phase space can be visualized by two-dimensional open hydrodynamical systems with velocity fields which are periodic in time. Passive marker particles in the fluid trace out complicated trajectories, which are caused by the vortex structure of the fluid, i.e. the authors encounter a case of Lagrangian turbulence. By the examination of a particular model they show the applicability in hydrodynamics of ideas and methods which have been useful before in the investigation of systems describing chaotic particle scattering. In particular they show the existence of a chaotic saddle, show its influence on scattering trajectories and give some quantitative measures for it.Keywords
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