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Modeling Problems of Dynamics and Development of Scientific Areas of Mechanics and Applied Mathematics
Vestnik St. Petersburg University, Mathematics Pub Date : 2023-12-01 , DOI: 10.1134/s1063454123040167
G. V. Alferov , V. S. Korolev , E. N. Polyakhova , K. V. Kholshevnikov

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.



中文翻译:

动力学建模问题以及力学和应用数学科学领域的发展

摘要

本文讨论了圣彼得堡国立大学名誉教授、俄罗斯联邦功勋科技工作者、物理和数学科学博士维克托·谢尔盖耶维奇·诺沃肖洛夫(Viktor Sergeevich Novoselov)研究中力学科学领域的发展。分析力学、空间动力学、生物力学和应用数学学院。他将分析动力学的基本定理扩展到可变成分的机械系统。利用变分方法,他在可控系统动力学方面取得了许多显着的成果。特别是,他提出了构造解析近似的通用方案,该方案已用于求解各种方程。

更新日期:2023-12-01
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