Chaos and fractals in fish school motion

Tikhonov, D. A. and Enderlein, Joerg and Malchow, H. and Medvinsky, Alexander B. (2001) Chaos and fractals in fish school motion. CHAOS SOLITONS & FRACTALS, 12 (2). pp. 277-288. ISSN 0960-0779

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: PREDATOR-PREY SYSTEM; PLANKTON PATCHINESS; PATTERN-FORMATION; NORWEGIAN SEA; MODEL; ZOOPLANKTON; DYNAMICS; ABUNDANCE; SIGNALS; BIOMASS;
Subjects: 500 Science > 540 Chemistry & allied sciences
Divisions: Chemistry and Pharmacy > Institut für Analytische Chemie, Chemo- und Biosensorik
Depositing User: Dr. Gernot Deinzer
Date Deposited: 15 Feb 2022 07:50
Last Modified: 15 Feb 2022 07:50
URI: https://pred.uni-regensburg.de/id/eprint/41763

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