M. P. Kharlamov, P. E. Ryabov, I. I. Kharlamova, “Topological Atlas of the Kovalevskaya–Yehia Gyrostat”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2016, Volume 128,Pages <nobr>3

This article is cited in 3 papers

Topological Atlas of the Kovalevskaya–Yehia Gyrostat

M. P. Kharlamov^a, P. E. Ryabov^b, I. I. Kharlamova^a

^a Volgograd Academy of Public Administration
^b Financial University under the Government of the Russian Federation, Moscow

Abstract: This paper is a review of results obtained during the last fifty years in the problem of the motion of a heavy gyrostat under the conditions of S. V. Kovalevskaya.

Keywords: gyrostat, Kovalevskaya conditions, Yehia integral, exact solutions, phase topology.

UDC: 517.93

MSC: 70E17, 70G40