FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 1, PAGES 95-128

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

D. B. Zotev

Abstract

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We consider an integrable case generalizing the Appelrot class I of 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 when it is not usable.

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Last modified: July 8, 2006