Algebraic Approach to Bifurcations in Global Parameter Space with Grobner Bases
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概要
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This paper describes a method for the analysis of bifurcations in global parameter spaces.By using Grobner bases, we can obtain the algebraic representation of bifurcation diagrams.The factorization of the Grobner bases derive the decomposition of bifurcation diagram.We show that the decomposition gives the resolution of singularity on bifurcation points.Further, we propose two methods for the algebraic representation of bifurcation sets.The one is to make use of the addition of ideal.The other method is to make use of the differential of bifurcation diagram and resultant.Additionally, we show two example of the algebraic methods in global parameter spaces.
- 社団法人電子情報通信学会の論文
- 2000-11-17
著者
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Hisakado Takashi
Department Of Electrical Engineering Faculty Of Engineering Kyoto University
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OKUMURA Kohshi
Department of Electrical Engineering, Kyoto University
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Okumura Kohshi
Department Of Computer Science Hiroshima Institute Of Technology
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