Geometric analysis of the dynamics of a double pendulum

被引：2

作者：

Awrejcewicz, Jan ^{[1
]}

Sendkowski, Dariusz ^{[1
]}

机构：

[1] Tech Univ Lodz, Dept Automat & Biomech, PL-90924 Lodz, Poland

来源：

JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES | 2007年 / 2卷 / 08期

关键词：

pendulum; chaos; Riemannian geometry; EISENHART GEOMETRY; CHAOS; SYSTEMS;

D O I：

10.2140/jomms.2007.2.1421

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper we make use of Riemannian geometry to analyze the dynamics of a simple low dimensional system with constraints, namely a double physical pendulum. The dynamics are analyzed by means of the Jacobi-Levi-Civita equation and its solutions. We show that this geometrical approach is in qualitative agreement with the classical techniques devoted to the study of dynamical systems.

引用

页码：1421 / 1430

页数：10

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