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Steady State and Periodic Solution Paths: their Bifurcations and Computations

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Numerical Methods for Bifurcation Problems

Abstract

In this work we present a brief account of the theory and numerical methods for the analysis and Solution of nonlinear autonomous differential equations of the form

$$ \frac{d}{{d\tau }}w = f\left( {w,\lambda ,\alpha } \right);f:{B_1} \times {\mathbb{R}^2} \to {B_2}. $$
((1.1))

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Author information

Authors and Affiliations

  1. Computer Science, University of Toronto, Ontario, Toronto, Canada

    A. D. Jepson

  2. Applied Mathematics, California Institute of Technology, Pasadena, California, USA

    H. B. Keller

Authors
  1. A. D. Jepson
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  2. H. B. Keller
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Editor information

Editors and Affiliations

  1. Abt. Mathematik, Universität Dortmund, Postfach 50 05 00, D-4600, Dortmund 50, Germany

    T. Küpper  & H. D. Mittelmann  & 

  2. Rechenzentrum, Johannes Gutenberg-Universität, Postfach 3980, D-6500, Mainz 1, Germany

    H. Weber

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© 1984 Springer Basel AG

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Jepson, A.D., Keller, H.B. (1984). Steady State and Periodic Solution Paths: their Bifurcations and Computations. In: Küpper, T., Mittelmann, H.D., Weber, H. (eds) Numerical Methods for Bifurcation Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 70. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6256-1_16

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  • DOI: https://doi.org/10.1007/978-3-0348-6256-1_16

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-6257-8

  • Online ISBN: 978-3-0348-6256-1

  • eBook Packages: Springer Book Archive

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