On the works of M. P. Kharlamov on the phase topology of the Kowalevski top in two constant fields

Abstract

The report presents a retrospective analysis of the works of M.P. Kharlamov on the study of the phase topology of the Kowalevski top in a double field of forces (the case of integrability of A.G. Reiman–M.A. Semenov-Tyan-Shansky without a gyrostatic moment). We will review the method of critical subsystems for the generalized two fields gyrostat, which includes the Kowalevski top in two constant fields.