ある2次元競争形モデルの安定性とカオス

概要

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In recent years, the complex behaviours of some very simple mathematical models attract much attention in various fields of science and engineering. In this paper the dynamics of a popular discrete time model for two-species competition is discussed. Domains of existence and stability of 2n-cycles are shown in the parameter space of this model, and a condition for coexistence of two species is obtained. Finally, the existence of chaotic behaviour and the structure of so-called "strange attractor" are demonstrated by computer simulation.
公益社団法人計測自動制御学会の論文