journal6 ›› 2008, Vol. 29 ›› Issue (1): 22-25.

• Mathematics • Previous Articles     Next Articles

Versal Unfolding of Equivariant Bifurcation Problems with Parameter Symmetry

  

  1.  (1.College of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China;2.School of Mathematical Science and Computing Technology,Central South University,Changsha 410083,China)
  • Online:2008-01-25 Published:2012-05-26

Abstract: The unfolding of equivariant bifurcation problems with parameter symmetry under a subgroup of left-right equivalence group is discussed.Necessary and sufficient conditions for an unfolding of such a bifurcation problem to be trivial and to be versal are given respectively.

Key words: equivariant bifurcation problem, left-right equivalence group, versal unfolding

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