DocumentCode
3076537
Title
Algebraic representation of bifurcations in global parameter space with Grobner bases
Author
Hosakado, T. ; Okumura, Kohshi
Author_Institution
Dept. of Electr. Eng., Kyoto Univ., Japan
Volume
3
fYear
2001
fDate
6-9 May 2001
Firstpage
747
Abstract
This paper describes an algebraic method for bifurcations in global parameter spaces. We show that the projected bifurcation diagram is calculated by the Grobner bases. Applying factorization to the bases, we can decompose the diagram and remove the singularity on bifurcation points. Further, we propose a method to obtain bifurcation sets with the Grobner bases. Our method can be applied to any systems represented by algebraic equations
Keywords
bifurcation; Grobner base; algebraic equation; bifurcation diagram; bifurcation set; decomposition; factorization; global parameter space; singularity point; Artificial intelligence; Bifurcation; Circuits; Equations; Frequency locked loops; Graphics; Polynomials;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location
Sydney, NSW
Print_ISBN
0-7803-6685-9
Type
conf
DOI
10.1109/ISCAS.2001.921440
Filename
921440
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