Singular point analysis for dynamical systems with many parameters‐an application to an asymmetrically and densely connected neural network model

Hisa‐Aki ‐A Tanaka, Atsushi Okada, Kazuo Horiuchi, Shinichi Oishi

    研究成果: Article査読

    抄録

    In the nonlinear dynamical system, the singular point analysis (Painleve test) is known to be an analytic method for identifying integrable systems or characterizing chaos. In this paper, nonlinear dynamical networks, which are simplified models for mutually connected analog neurons, are studied mainly in terms of the singular point analysis by introducing the complex time. The following results were obtained: 1) some conditions for integrability and first integrals are identified; 2) as an application of Yoshida's theorem, it is proven that many cases in our system are (algebraically) noninegrable; 3) a self‐validated numerical algorithm is proposed to overcome some difficulties known to appear in applying the singular point analysis (Yoshida's theorem) to higher‐order systems.

    本文言語English
    ページ(範囲)92-102
    ページ数11
    ジャーナルElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
    77
    10
    DOI
    出版ステータスPublished - 1994

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering

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