1. The Lesser Prize 2014 of IAPC "Nauka/Interperiodica" for the best publication in its journals (a series of works devoted to the study of solutions of systems of ordinary differential equations on compact sets).
2. Together with the French mathematician René Lozi, a high-precision numerical method was developed for constructing approximations to chaotic motions of dynamical systems with quadratic nonlinearities.
3. A high-precision numerical scheme for finding approximations to unstable cycles of the Lorenz system is proposed.