スギモト タケシ   Sugimoto Takeshi
  杉本 剛
   所属   神奈川大学  工学部 情報システム創成学科
    神奈川大学大学院  工学研究科 工学専攻(情報システム創成領域)
   職種   教授
言語種別 日本語
発行・発表の年月 2009/02
形態種別 学術雑誌
査読 査読あり
標題 Analysis on the nature of the basic equations in synergetic inter-representation network
執筆形態 単著
掲載誌名 Far East J. Appl. Math.
巻・号・頁 34(2),261-267頁
概要 Synergetic Inter-Representation Network is described by n-dimensional ordinary differential equations with cubic nonlinearity. The novel find is the fact that the basic equation set is transformed to a set of n-dimensional Lotka-Volterra equations. The existence and stability of fixed points is shown mathematically rigorously by a series of inequality conditions. For the sake of self-consistency and numerical efficiency it is proposed to use the n-dimensional Lotka-Volterra equations having n stable fixed points.