Calculating bifurcation points with guaranteed accuracy

Yuchi Kanzawa, Shinichi Oishi

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    This paper presents a method of calculating an interval including a bifurcation point. Turning points, simple bifurcation points, symmetry breaking bifurcation points and hysteresis points are calculated with guaranteed accuracy by the extended systems for them and by the Krawczyk-based interval validation method. Taking several examples, the results of validation are also presented.

    Original languageEnglish
    Pages (from-to)1055-1061
    Number of pages7
    JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
    VolumeE82-A
    Issue number6
    Publication statusPublished - 1999

    Fingerprint

    Bifurcation (mathematics)
    Bifurcation Point
    Hysteresis
    Interval
    Extended Systems
    Turning Point
    Symmetry Breaking

    Keywords

    • Bifurcation points
    • Extended systems
    • Hysteresis points
    • Krawczyk-based interval validation method
    • Numerical computation with guaranteed accuracy
    • Symmetry breaking bifurcation points
    • Turning points

    ASJC Scopus subject areas

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

    Cite this

    Calculating bifurcation points with guaranteed accuracy. / Kanzawa, Yuchi; Oishi, Shinichi.

    In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E82-A, No. 6, 1999, p. 1055-1061.

    Research output: Contribution to journalArticle

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