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Graded stable unfoldings in bifurcation problems
Authors:Zhang Guo-bin  Zhang Dun-mu
Institution:(1) Department of Mathematics, Zhanjiang Normal College, 524048 Zhanjiang, China;(2) Department of Mathematics, Wuhan University, 430072 Wuhan, China
Abstract:We introduced stability of arbitrary degree number for unfordings of bifurcation problems and established the equivalence of three stabilities. Thom's transversality theory is used to character the new stability. Foundation item: Supported by the National Natural Science Foundation of China (19871074) Biography: Zhang Guo-bin (1939-), male, Professor, research interest: singularity theory.
Keywords:Thom-transversality  unfolding  bifurcation
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