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A duffing equation with more than 20 branch points

Part of the Lecture Notes in Mathematics book series (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.

Keywords

  • Branch Point
  • Phase Plane
  • Strange Attractor
  • Duffing Oscillator
  • Duffing Equation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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6. References

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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