Chaos and fractals in fish school motion
Autor(en): | Tikhonov, DA Enderlein, J Malchow, H Medvinsky, AB |
Stichwörter: | BIOMASS; DYNAMICS; Mathematics; Mathematics, Interdisciplinary Applications; MODEL; NORWEGIAN SEA; PATTERN-FORMATION; Physics; Physics, Mathematical; Physics, Multidisciplinary; SIGNALS; ZOOPLANKTON | Erscheinungsdatum: | 2001 | Herausgeber: | PERGAMON-ELSEVIER SCIENCE LTD | Journal: | CHAOS SOLITONS & FRACTALS | Volumen: | 12 | Ausgabe: | 2 | Startseite: | 277 | Seitenende: | 288 | Zusammenfassung: | The once abstract notions of fractal patterns and processes now appear naturally and inevitably in various chaotic dynamical systems. The examples range from Brownian motion [1-5] to the dynamics of social relations [6]. In this paper, after introducing a certain hybrid mathematical model of the plankton-fish school interplay, we study the fractal properties of the model fish school walks. We show that the complex planktivorous fish school motion is dependent on the fish predation rate. A decrease in the rate is followed by a transition from low-persistent to high-persistent fish school walks, i.e., from a motion with frequent to a motion with few changes of direction. The low-persistent motion shows fractal properties for all time scales, whereas the high-persistent motion has pronounced multifractal properties For large-scale displacements. (C) 2000 Elsevier Science Ltd. All rights reserved. |
ISSN: | 09600779 | DOI: | 10.1016/S0960-0779(00)00049-7 |
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