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Géométrie Symplectique et Mécanique pp 26–38Cite as

The hamiltonian hopf bifurcation in the lagrange top

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1416))

Abstract

We show that the Lagrange top undergoes a Hamiltonian Hopf bifurcation when the angular momentum corresponding to rotation about the symmetry axis of the body passes through a value where the sleeping top changes stability.

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References

  1. Abraham, R. and Marsden, J.E., Foundations of mechanics, 2nd ed. Benjamin/Cummings, Reading, Mass., 1978.

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Author information

Authors and Affiliations

  1. Mathematisch Instituut, Rijksuniversiteit Utrecht, P.O. Box 80.010, 3508 TA, Utrecht, The Netherlands

    R. Cushman

  2. Faculteit der Wiskunde en Informatica, Technische Universiteit Eindhoven, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands

    J. C. van der Meer

Authors
  1. R. Cushman
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  2. J. C. van der Meer
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Editor information

Claude Albert

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© 1990 Springer-Verlag

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Cushman, R., van der Meer, J.C. (1990). The hamiltonian hopf bifurcation in the lagrange top. In: Albert, C. (eds) Géométrie Symplectique et Mécanique. Lecture Notes in Mathematics, vol 1416. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097463

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  • DOI: https://doi.org/10.1007/BFb0097463

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52191-4

  • Online ISBN: 978-3-540-46920-9

  • eBook Packages: Springer Book Archive

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