Families of Portraits of Some Pendulum-Like Systems in Dynamics

被引：0

作者：

Shamolin M.V. ^{[1
]}

机构：

[1] Institute of Mechanics, Lomonosov Moscow State University, Moscow

来源：

Journal of Applied and Industrial Mathematics | 2020年 / 14卷 / 04期

关键词：

dynamical pendulum-like system; qualitative and numerical analysis;

D O I：

10.1134/S1990478920040146

中图分类号：

学科分类号：

摘要：

Abstract: The so-called pendulum-like systems arise in dynamics of a rigid body ina non-conservative field, in the theory of oscillations, and in theoretical physics. In this article, themethods of analysis are described which allow us to generalize the previous results. Herewith, wedeal with some qualitative questions of the theory of ordinary differential equations whose solutionfacilitates studying some dynamical systems. In result of investigating more general classes ofsystems, we show that these general systems possess the already known family of nonequivalentphase portraits. We also deal with the aspect of integrability. © 2020, Pleiades Publishing, Ltd.

引用

页码：769 / 778

页数：9

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