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Numerische Behandlung von Verzweigungsproblemen bei gewöhnlichen Differentialgleichungen

Numerical treatment of bifurcation problems for ordinary differential equations

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Summary

We present a new method for the numerical solution of bifurcation problems for ordinary differential equations. It is based on a modification of the classical Ljapunov-Schmidt-theory. We transform the problem of determining the nontrivial branch bifurcating from the trivial solution into the problem of solving regular nonlinear boundary value problems, which can be treated numerically by standard methods (multiple shooting, difference methods).

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  1. Helmut Weber

    Present address: Abteilung Mathematik der Universität, Postfach 500500, 4600, Dortmund 50

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  1. Johannes Gutenberg-Universität, Fachbereich 17 Mathematik, 6500, Mainz, Bundesrepublik Deutschland

    Helmut Weber

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  1. Helmut Weber
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Weber, H. Numerische Behandlung von Verzweigungsproblemen bei gewöhnlichen Differentialgleichungen. Numer. Math. 32, 17–29 (1979). https://doi.org/10.1007/BF01397647

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  • DOI: https://doi.org/10.1007/BF01397647

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