Numerical Study on a Coupled-Logistic Map as a Simple Model for a Predatior-Prey System
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概要
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Dynamics of an iterated map of an interval, x...=ax.(I -x.)-Fcx.y.,y... = by.(1 - y.) - dy.x. is studied numerically. Such a coupled-logistic map serves asa simple model for a predator-prey system in ecology. A generated sequence {,Y.}(where X.=(x., ,V'.)) is attracted to a periodic, or a torus, or a chaotic attractor depending on parameters a, b, c and d. A phase diagram which classifies the attractorsin the a-b plane is investigated varying the coupling strength c (where c=d). It isfound that the global structure of the phase diagram is rather simple, whereas the defailed structure of the phase diagram exhibits remarkable self-similarity. Propertiesof the attractors are empirically studied on the Fourier and fractal-dimensionanalysis. Initial value dependence of the attractors is also discussed.I- iterated map, torus, chaotic attractor, phase diagram, self-similarity, fractal ll dimension, numerical studyl
- 社団法人日本物理学会の論文
- 1990-04-15
著者
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Satoh Kazuhiro
Department Of Applied Physics And Chemistry The University Of Electro-communications
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AIHARA Takashi
Department of Applied Physics and Chemistry,the University of Electro-Communications
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Aihara Takashi
Department Of Applied Physics And Chemistry The University Of Electro-communications
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