Calculating bifurcation points with guaranteed accuracy

Yuchi Kanzawa, Shin'Ichi 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
Externally publishedYes

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Bifurcation (mathematics)
Hysteresis

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, Shin'Ichi.

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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