Open AccessDynamics modeling and scientific development directions of mechanics and applied mathematics
Author(s) -
Gennady Alferov,
Vladimir Korolev,
E. N. Polyakhova,
К. В. Холшевников
Publication year - 2021
Publication title -
vestnik sankt-peterburgskogo universiteta. matematika. mehanika. astronomiâ/vestnik sankt-peterburgskogo universiteta. seriâ 1, matematika, mehanika, astronomiâ
Language(s) - English
Resource type - Journals
eISSN - 2587-5884
pISSN - 1025-3106
DOI - 10.21638/spbu01.2021.112
Subject(s) - dynamics (music) , development (topology) , mathematics , space (punctuation) , computer science , physics , mathematical analysis , acoustics , operating system
The development of scientific areas of mechanics as a result of the research of the Honorary Professor of St.Petersburg State University, Honored Worker of Science and Technology of the Russian Federation, Doctor of Physics and Mathematics Viktor Sergeevich Novoselov, the founder of the scientific school on analytical mechanics, space dynamics and applied mathematics is considered. The main theorems of analytic dynamics were extended to mechanical systems of variable composition. Using a variational technique, a number of remarkable results were obtained on the dynamics of controlled systems. In particular, a general scheme for constructing analytical approximations was proposed and repeatedly applied to solve equations.