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 language | English |
|---|---|
| Pages (from-to) | 1055-1061 |
| Number of pages | 7 |
| Journal | IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences |
| Volume | E82-A |
| Issue number | 6 |
| Publication status | Published - 1999 Jan 1 |
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
- Signal Processing
- Computer Graphics and Computer-Aided Design
- Electrical and Electronic Engineering
- Applied Mathematics