Numerical bifurcation analysis for ODEs. (English) Zbl 0971.65117
This paper is essentially a review article and discusses various computational techniques and software packages for the computation and continuation of equilibria and bifurcation points of equilibria of dynamical systems. The computation of cycles and homoclinic orbits are treated as boundary value problems.
Reviewer: Kevin Burrage (Brisbane)
MSC:
65P30 | Numerical bifurcation problems |
65-02 | Research exposition (monographs, survey articles) pertaining to numerical analysis |
65Y15 | Packaged methods for numerical algorithms |
65L15 | Numerical solution of eigenvalue problems involving ordinary differential equations |
37M20 | Computational methods for bifurcation problems in dynamical systems |
37G10 | Bifurcations of singular points in dynamical systems |
34C23 | Bifurcation theory for ordinary differential equations |
37C29 | Homoclinic and heteroclinic orbits for dynamical systems |
Keywords:
research survey; software packages; bifurcation points; equilibria; dynamical systems; cycles; homoclinic orbitsReferences:
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