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スギモト タケシ
Sugimoto Takeshi 杉本 剛 所属 神奈川大学 情報学部 システム数理学科 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 |
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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. |