Abstract
We study double bifurcations in a system of one-dimensional reaction-diffusion equations, and numerical continuation of bifurcating solution branches. To ensure a correct reflection of bifurcation scenario in discretizations and to reduce imperfection of singularities, we consider a preservation of multiplicities of the bifurcation points in the discrete problems. A continuation-Arnoldi algorithm is exploited to trace the solution branches and to detect secondary bifurcations.
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© 2000 Springer-Verlag Berlin Heidelberg
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Mei, Z. (2000). One-Dimensional Reaction-Diffusion Equations. In: Numerical Bifurcation Analysis for Reaction-Diffusion Equations. Springer Series in Computational Mathematics, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04177-2_9
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DOI: https://doi.org/10.1007/978-3-662-04177-2_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08669-4
Online ISBN: 978-3-662-04177-2
eBook Packages: Springer Book Archive