YE Rui-song. A New Approach for the Computation of Hopf Bifurcation Points[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1172-1178.
Citation: YE Rui-song. A New Approach for the Computation of Hopf Bifurcation Points[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1172-1178.

A New Approach for the Computation of Hopf Bifurcation Points

  • Received Date: 1999-02-01
  • Rev Recd Date: 2000-05-26
  • Publish Date: 2000-11-15
  • A new approach is proposed to compute Hopf bifurcation points.The method could produce small extended systems and therefore could reduce the computational effort and storage.One numerical example is presented to demonstrate that the method is efficient.
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  • [1]
    Guchenheimer J,Holmes P.Nonlinear Oscillations Dynamical Systems and Bifur cations of Vector Fields[M].New York:Springer-Verlag,1983.
    [2]
    Roose D,De Dier B.Numerical determination of an emanating branch of Hopf bifurcation points in a two-parameter problem[J].SIAM J Sci Stat Comput,1989,10(4):671-685.
    [3]
    Roose D,Hlavacek V.A direct method for the computation of Hopf bifurcation points[J].SIAM J Appl Math,1985,45(6):879-894.
    [4]
    Spence A,Cliffe K A,Jepson A D.A note on the calculation of paths of Hopf bifurcations[J].J Comput Appl Math,1989,26(1):125-131.
    [5]
    Janovsky V,Plehac P.Asymptotic analysis of perturbed Hopf points[J].J Comput Appl Math,1991,36(2):349-359.
    [6]
    Griewank A,Reddien G W.Characterization and computation of generalized turning points[J].SIAM J Numer Anal,1989,21(1):186-196.
    [7]
    Rapier P J,Reddien G W.Characterization and computation of singular points with maximum rank deficiency[J].SIAM J Numer Anal,1986,23(5):1040-1051.
    [8]
    Keller H B.Numerical solution of bifurcation and nonlinear eigenvalue probems[A].In:PH Rabinowitz,Ed.Applications of Bifur cation Theory[C].New York:Academic Press,1977,359-384.
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