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. 4. In 2020, Alexander Pchelintsev scientifically edited the second edition in Russian of James Gleicks book "Chaos: Making a New Science" by Corpus. Associate Professor at Tambov State Technical University (Tambov, Russia), 2012. Candidate of Physico-mathematical Sciences (Ph.D.), 2009. The head of the Department of Higher Mathematics at Tambov State Technical University, 2018. Correspondence address: Tambov State Technical University, ul. Sovetskaya 106, Tambov, 392000, Russia.