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
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;
Conference_Titel :
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6685-9
DOI :
10.1109/ISCAS.2001.921440
