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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.

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

Software:

CONTENT; HomCont; AUTO
PDFBibTeX XMLCite
Full Text: DOI

References:

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