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Interaction between fold and Hopf curves leads to new bifurcation phenomena

  • Published:1989-06 Issue:1-2 Volume:26 Page:171-186
  • ISSN:0377-0427
  • Container-title:Journal of Computational and Applied Mathematics
  • language:en
  • Short-container-title:Journal of Computational and Applied Mathematics

Author:

De Dier Bart,Roose Dirk,Van Rompay Paul

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference26 articles.

1. Geometrical Methods in the Theory of Ordinary Differential Equations;Arnold,1983

2. Bifurcation and stability analysis of a one-dimensional diffusion-autocatalytic reaction system;De Dier;Z. Naturforsch.,1987

3. Determination of bifurcation points and catastrophes for the Brusselator model with two parameters;De Dier,1987

4. Numerical determination of a branch of codimension two bifurcation points in a three-parameter problem;De Dier,1987

5. Global Hopf bifurcation of two-parameter flows;Fiedler;Arch. Rat. Mech. Anal.,1986

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1. Bogdanov-Takens bifurcation points and Sil'nikov homoclinicity in a simple power-system model of voltage collapse;IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications;2002-05

2. Computation of Hopf branches bifurcating from a class of Hopf/steady-state points;Computer Methods in Applied Mechanics and Engineering;1996-04

3. A direct method for computation of simple bifurcations;Journal of Computational Physics;1995-10

4. Solution of bordered singular systems in numerical continuation and bifurcation;Journal of Computational and Applied Mathematics;1994-05

5. Krylov-type methods for the computation of critical solutions of nonlinear equations;Numerical Functional Analysis and Optimization;1994-01
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