New Numerical Methods for High Dimensional Hopf Bifurcation Problems

  • J. Wu
  • K. Zhou
Part of the Springer Series in Nonlinear Dynamics book series (SSNONLINEAR)


In the paper a new numerical method for the analysis of both static and Hopf bifurcation is presented. The study of the problem of solution bifurcation is reduced to the study of the local behavior near the singular points of the vector field. In the case of the Hopf bifurcation, the problem is reduced to searching for a pair of complex conjugate eigenvalues with maximum norm of a matrix. Two examples support the introduced theory.


Singular Point Hopf Bifurcation Bifurcation Point Closed Orbit Solution Curve 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • J. Wu
    • 1
  • K. Zhou
    • 1
  1. 1.Department of MechanicsPeking UniversityBeijingPRC

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