电邮这篇文章 On the One Method of Analyzing the Stability of Rest Points in Critical Cases
- 作者: Nesterov S.V.1
-
隶属关系:
- Ishlinsky Institute for Problems in Mechanics of the RAS
- 期: 卷 87, 编号 4 (2023)
- 页面: 642-648
- 栏目: Articles
- URL: https://journals.rcsi.science/0032-8235/article/view/138884
- DOI: https://doi.org/10.31857/S0032823523040094
- EDN: https://elibrary.ru/DZLVPR
- ID: 138884
如何引用文章
开放存取
##reader.subscriptionAccessGranted##
订阅存取
详细
For a two-dimensional oscillatory system with imaginary characteristic roots of linearized equations, a method is proposed that simplifies calculations and does not require the analyticity of the right-hand sides of the equations. The method is based on the decomposition of the vector function of the right-hand sides of the equations into solenoidal and potential components. Integral estimates for the stability of the equilibrium position are obtained.
作者简介
S. Nesterov
Ishlinsky Institute for Problems in Mechanics of the RAS
编辑信件的主要联系方式.
Email: bayd@ipmnet.ru
Russia, Moscow
参考
- Poincaré H. Curves Defined by Differential Equations. Moscow; Leningrad: GITTL, 1947. (in Russian)
- Liapunov A.M. The General Problem of Stability of Motion. Moscow;Leningrad: GITTL, 1950. 471 p. (in Russian)
- Malkin I.G. Theory of Motion Stability. Moscow; Leningrad: GITTL, 1952. (in Russian)
- Lyapunov A.M. Investigation of One of the Special Cases of the Problem of Motion Stability. Leningrad: Leningrad Univ. Press, 1963.
