S. V. Kovalevskaya system, its generalization and discretization (Q384605)

For the system of ordinary differential equations with quadratic vector fields partially connected with the famous integrable system, the Euler top problem, integrable discretizations are considered. The Hirota-Kimura approach consisting in replacing the derivatives by the first differences and the quadratic terms in the vector fields by the corresponding bilinear terms is used. Some aspects of the approach are discussed.