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Phase topology of Appelrot class I of a Kowalewski top in a magnetic field

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Abstract

We consider an integrable case generalizing the Appelrot class I of a Kowalewski top in a magnetic field. Its phase topology is investigated by means of Fomenko-Zieschang invariants. The offered method of approach to the calculation of marks completes Bolsinov’s method in the situation where it is not usable.

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References

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Authors and Affiliations

  1. Volgograd State Technical University, Russia

    D. B. Zotev

Authors
  1. D. B. Zotev
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Correspondence to D. B. Zotev.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 12, No. 1, pp. 95–128, 2006.

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Zotev, D.B. Phase topology of Appelrot class I of a Kowalewski top in a magnetic field. J Math Sci 149, 922–946 (2008). https://doi.org/10.1007/s10958-008-0035-y

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  • DOI: https://doi.org/10.1007/s10958-008-0035-y

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