DocumentCode :
2107621
Title :
Nonlinear fractal dynamics and clustering of passive particles by a hydrodynamic vortex and a current
Author :
Budyansky, Maxim V. ; Prants, Sergey V.
Author_Institution :
Lab. of Nonlinear Dynamical Syst., Russian Acad. of Sci., Vladivostok, Russia
fYear :
2005
fDate :
24-26 Aug. 2005
Firstpage :
556
Lastpage :
560
Abstract :
We investigate typical mixing and fractal properties of chaotic scattering of passive particles in open hydrodynamic flows taking as an example a model two-dimensional incompressible flow composed of a fixed point vortex and a background current with a periodic component, the model inspired by the phenomenon of topographic eddies over mountains in the ocean and atmosphere. We have found and described a non-attracting invariant chaotic set defining chaotic scattering and trapping of incoming particles. Geometry and topology of chaotic scattering have been studied. Scattering functions in the mixing zone have been found to have a fractal structure with a complicated hierarchy that has been described in terms of strophes and epistrophes. A new effect of clustering has been demonstrated in numerical experiments. Mixing, trapping, and fractal properties of passive particles have been studied under the influence of a white noise with different amplitudes and frequency ranges. Using the results obtained, we have known how to control these properties of open hydrodynamic flows varying control parameters.
Keywords :
chaos; fractals; geometry; hydrodynamics; nonlinear dynamical systems; pattern clustering; topology; vortices; white noise; chaotic scattering; clustering; epistroph; fixed point vortex; geometry; hydrodynamic flow; mixing property; nonlinear fractal dynamics; particle trapping; passive particle; topographic eddy; topology; two-dimensional incompressible flow; white noise; Atmosphere; Atmospheric modeling; Chaos; Fractals; Geometry; Hydrodynamics; Oceans; Particle scattering; Topology; White noise;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Physics and Control, 2005. Proceedings. 2005 International Conference
Print_ISBN :
0-7803-9235-3
Type :
conf
DOI :
10.1109/PHYCON.2005.1514045
Filename :
1514045
Link To Document :
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