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A duffing equation with more than 20 branch points

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Numerical Solution of Nonlinear Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 878))

Abstract

The differential equation of a Duffing oscillator is presented which exhibits an interesting branching behaviour. Depending on the frequency of the excitation, there is a great variety of different types of solutions. Extensive numerical results are obtained by the means of classical numerical analysis.

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6. References

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Author information

Authors and Affiliations

  1. Lehrstuhl A für Mechanik, Technische Universität München, Arcisstraße 21, D-8000, München 2

    K. -H. Becker

  2. Institut für Mathematik, Technische Universität München, Arcisstraße 21, D-8000, München 2

    R. Seydel

Authors
  1. K. -H. Becker
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  2. R. Seydel
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Editor information

Eugene L. Allgower Klaus Glashoff Heinz-Otto Peitgen

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© 1981 Springer-Verlag

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Becker, K.H., Seydel, R. (1981). A duffing equation with more than 20 branch points. In: Allgower, E.L., Glashoff, K., Peitgen, HO. (eds) Numerical Solution of Nonlinear Equations. Lecture Notes in Mathematics, vol 878. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090677

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  • DOI: https://doi.org/10.1007/BFb0090677

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10871-9

  • Online ISBN: 978-3-540-38781-7

  • eBook Packages: Springer Book Archive

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