Calculating bifurcation points with guaranteed accuracy

Yuchi Kanzawa, Shin'Ichi Oishi

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


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
Issue number6
Publication statusPublished - 1999
Externally publishedYes


  • 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

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics


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