Abstract

The so-called pendulum-like systems arise in dynamics of a rigid body in a non-conservative field, in the theory of oscillations, and in theoretical physics. In this article, the methods of analysis are described which allow us to generalize the previous results. Herewith, we deal with some qualitative questions of the theory of ordinary differential equations whose solution facilitates studying some dynamical systems. In result of investigating more general classes of systems, we show that these general systems possess the already known family of nonequivalent phase portraits. We also deal with the aspect of integrability.

中文翻译：

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动力学中某些钟摆系统的肖像族

摘要

所谓的类摆系统出现在非保守领域中的刚体动力学，振荡理论和理论物理学中。本文介绍了分析方法，这些方法使我们能够概括先前的结果。因此，我们处理常微分方程理论的一些定性问题，其解法有助于研究某些动力学系统。在研究了更多通用系统类别之后，我们证明了这些通用系统拥有已知的非等效相像族。我们还处理可集成性方面。