On the Numerical Study of Bifurcation Problems

Kreuzer, Edwin J.

doi:10.1007/978-3-0348-7241-6_17

Edwin J. Kreuzer⁹

Part of the book series: ISNM 79: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique ((ISNM,volume 79))

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Abstract

Lyapunov exponents are normally used to characterize the behavior of dynamic systems, either if the system is continuous or discrete. It is shown that Lyapunov exponents are equally applicable for the study of bifurcation problems to obtain both bifurcation diagrams and stability charts.

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Authors and Affiliations

Institute B of Mechanics, University of Stuttgart, Pfaffenwaldring 9, D-7000, Stuttgart, Germany
Prof. Dr.-Ing. Edwin J. Kreuzer

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Prof. Dr.-Ing. Edwin J. Kreuzer
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Editors and Affiliations

Institut für Angewandte Mathematik, Universität Hannover, Welfengarten 1, D-3000, Hannover 1, Germany
T. Küpper
Institut für Angewandte Mathematik und Statistik, Universität Würzburg, Am Hubland, D-8700, Würzburg, Germany
R. Seydel
Institut für Mechanik, Technische Universität Wien, Karlsplatz 13, A-1040, Wien, Austria
H. Troger

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Kreuzer, E.J. (1987). On the Numerical Study of Bifurcation Problems. In: Küpper, T., Seydel, R., Troger, H. (eds) Bifurcation: Analysis, Algorithms, Applications. ISNM 79: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 79. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7241-6_17

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DOI: https://doi.org/10.1007/978-3-0348-7241-6_17
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7243-0
Online ISBN: 978-3-0348-7241-6
eBook Packages: Springer Book Archive

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