This article is cited in 10 papers

Calculation of the Fomenko–Zieschang invariants in the Kovalevskaya–Yehia integrable case

P. V. Morozov

M. V. Lomonosov Moscow State University

Abstract: All the Fomenko–Zieschang invariants are calculated in the Kovalevskaya–Yehia integrable case of the problem of the motion of a heavy gyrostat in a gravitational field; the topological classification of the non-degenerate equilibria of this system is obtained and the loop molecules of all the singularities are calculated.
Bibliography: 10 titles.

UDC: 517.938.5+514.762

MSC: Primary 37J35, 70E05, 70E40; Secondary 70H06

Received: 16.10.2006

DOI: 10.4213/sm3779

 English version: Sbornik: Mathematics, 2007, 198:8, 1119–1143

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