Abstract
The paper discusses the development of scientific areas of mechanics in the research by the honorary professor of St. Petersburg State University, Honored Worker of Science and Technology of the Russian Federation, and Doctor of Physical and Mathematical Sciences Viktor Sergeevich Novoselov, founder of the scientific school of analytical mechanics, space dynamics, biomechanics, and applied mathematics. He extended the basic theorems of analytical dynamics to mechanical systems of variable composition. Using variational methods, he obtained a number of remarkable results on the dynamics of controllable systems. In particular, he proposed a general scheme for constructing analytical approximations, which has been used to solve a variety of equations.
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REFERENCES
V. S. Novoselov, Analytical Mechanics of Systems with Variable Mass (Leningr. Gos. Univ., Leningrad, 1969; NASA, 1974).
V. C. Novoselov, “The trajectory of the transition point of variable mass in the central field,” Vestn. Leningr. Univ., Ser. 1: Mat. Mekh. Astron., No. 19 (1965).
V. S. Novoselov, Variational Methods in Mechanics (Leningr. Gos. Univ., Leningrad, 1966) [in Russian].
V. S. Novoselov, Holonomic Systems in Lagrangian Coordinates (Leningr. Gos. Univ., Leningrad, 1967) [in Russian].
V. S. Novoselov, Variation of Dynamic Motion Patterns (Leningr. Gos. Univ., Leningrad, 1983) [in Russian].
V. S. Novoselov, Analytical Theory of Optimization in Gravitational Fields (Leningr. Gos. Univ., Leningrad, 1972) [in Russian].
V. S. Novoselov and V. S. Korolev, Analytical Mechanics of a Controlled System (S.-Peterb. Gos. Univ., St. Petersburg, 2005) [in Russian].
V. S. Novoselov, Statistical Models of Mechanics (S.-Peterb. Gos. Univ., St. Petersburg, 1999) [in Russian].
V. S. Novoselov, Statistical Dynamics (S.-Peterb. Gos. Univ., St. Petersburg, 2009) [in Russian].
V. S. Novoselov, S. N. Kirpichnikov, V. S. Korolev, E. N. Polyakhova, and A. S. Shmyrov, Analytical and Qualitative Methods for the Study of Degenerate Cases of Excited and Controlled Hamiltonian Systems, Research Report No. 96-01-00609 (Russian Foundation for Fundamental Research, 1996) [in Russian].
V. S. Novoselov, “Integral invariants and soliton solutions of long-wave equations,” Vestn. S.-Peterb. Univ., Ser. 10: Prikl. Mat. Inf. Protsessy Upr., No. 3, 69–75 (2010).
V. S. Novoselov, “On simulation of nerve impulses,” Vestn. S.-Peterb. Univ., Ser. 10: Prikl. Mat. Inf. Protsessy Upr., No. 4, 73–83 (2011).
V. S. Novoselov, “On the mathematical model of pacemaker,” Vestn. S.-Peterb. Univ., Ser. 10: Prikl. Mat. Inf. Protsessy Upr., No. 4, 58–64 (2012).
V. S. Novoselov and V. S. Korolev, “Stochastic model of the universe matter,” in Proc. 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V. F. Demyanov) (CNSA), St. Petersburg, Russia, May 22–27, 2017 (IEEE, Piscataway, N.J., 2017). https://doi.org/10.1109/CNSA.2017.7973974
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Translated by L. Trubitsyna
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Alferov, G.V., Korolev, V.S., Polyakhova, E.N. et al. Modeling Problems of Dynamics and Development of Scientific Areas of Mechanics and Applied Mathematics. Vestnik St.Petersb. Univ.Math. 56, 470–477 (2023). https://doi.org/10.1134/S1063454123040167
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DOI: https://doi.org/10.1134/S1063454123040167