Stability of equivariant bifurcation problems with two types of state variables and their unfoldings in presence of parameter symmetry |
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Authors: | Cui Deng-lan Li Yang-cheng |
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Institution: | School of Mathematical Science and Computing Technology, Central South University,Changsha 410083, P. R. China;College of Mathematics and Computer Science, Hunan Normal University Changsha 410081, P. R. China |
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Abstract: | Based on the contact equivalent relation of smooth map-germs in singu- larity theory,the stability of equivariant bifurcation problems with two types of state variables and their unfoldings in the presence of parameter symmetry is discussed.Some basic results are obtained.Transversality condition is used to characterize the stability of equavaxiant bifurcation problems. |
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Keywords: | equivariant bifurcation problem unfolding |
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