  We consider an integrable three-dimensional system of ordinary differential
equations introduced by S.V. Kovalevskaya in a letter to G. Mittag-Leffler. We
prove its isomorphism with the three-dimensional Euler top, and propose two
integrable discretizations for it. Then we present an integrable generalization
of the Kovalevskaya system, and study the problem of integrable discretization
for this generalized system.
