Numerical verification of algebraic non-integrability for high dimensional dynamical systems

Hisa Aki Tanaka, Shinichi Oishi, Atsushi Okada

    Research output: Contribution to journalArticle

    Abstract

    The singular point analysis, such as the Painleve test and Yoshida's test, is a computational method and has been implemented in a symbolic computational manner. But, in applying the singular point analysis to high dimensional and/or 'complex' dynamical systems, we face with some computational difficulties. To cope with these difficulties, we propose a new numerical technique of the singular point analysis with the aid of the self-validating numerics. Using this technique, the singular point analysis can now be applicable to a wide class of high dimensional and/or 'complex' dynamical systems, and in many cases dynamical properties such as the algebraic non-integrability can be proven for such systems.

    Original languageEnglish
    Pages (from-to)1117-1120
    Number of pages4
    JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
    VolumeE76-A
    Issue number7
    Publication statusPublished - 1993 Jul

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    Non-integrability
    Numerical Verification
    Singular Point
    Dynamical systems
    High-dimensional
    Dynamical system
    Complex Dynamical Systems
    Computational methods
    Painlevé
    Numerical Techniques
    Numerics
    Computational Methods

    ASJC Scopus subject areas

    • Hardware and Architecture
    • Information Systems
    • Electrical and Electronic Engineering

    Cite this

    Numerical verification of algebraic non-integrability for high dimensional dynamical systems. / Tanaka, Hisa Aki; Oishi, Shinichi; Okada, Atsushi.

    In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E76-A, No. 7, 07.1993, p. 1117-1120.

    Research output: Contribution to journalArticle

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