Calculating Bifurcation Points with Guaranteed Accuracy
نویسنده
چکیده
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. key words: numerical computation with guaranteed accuracy, Krawczyk-based interval validation method, turning points, symmetry breaking bifurcation points, hysteresis points, extended systems, bifurcation points
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