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.
  • loading
  • [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.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2111) PDF downloads(806) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return