He Guo-wei, Fang Tong. Zn-Equivariant Singularity Theory[J]. Applied Mathematics and Mechanics, 1993, 14(11): 985-991.
Citation: He Guo-wei, Fang Tong. Zn-Equivariant Singularity Theory[J]. Applied Mathematics and Mechanics, 1993, 14(11): 985-991.

Zn-Equivariant Singularity Theory

  • Received Date: 1992-11-09
  • Publish Date: 1993-11-15
  • The basic concepts, normal forms and universal unfoldings of Zn-equivariant singularity are investigated in the present paper. As an example, the normal forms and universal unfoldings of Z3-singularity are formulated. As a matter of fact, the theory provides a useful tool to study the subharmonic resonance bifurcation of the periodic parameter-excited system.
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  • [1]
    Golubitsky M.,I.Stewart and D.G.Scheaffer,Singularities and Groups in Bifurcation Theory,Vol.1,2,Springer-Verlag,New York(1985,1988).
    [2]
    Sattinger.D.H.,Group Theoric Methods in Bifurcation Theory,Springer-Verlag,New York(1979).
    [3]
    Buzano,E.,G.Geymonant and T.Poston,Post-bucking behavior of non-linear hyperelastic thin rod with cross-section invariant under the dihedral group D.,Arch.Rational.Mech.Anal.,89,4(1985).
    [4]
    He Guo-wei,The Subharmonic Bifurcation of The Periodic Parameter-Excited System,Dissertation,Northwestern Polytechnical University(1991).
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