A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems

被引：10

作者：

Benenti, Sergio ^{[1
]}

机构：

[1] Univ Turin, Dept Math, I-10124 Turin, Italy

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2007年 / 3卷

关键词：

non-holonomic systems; dynamical systems;

D O I：

10.3842/SIGMA.2007.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two effective methods for writing the dynamical equations for non-holonomic systems are illustrated. They are based on the two types of representation of the constraints: by parametric equations or by implicit equations. They can be applied to linear as well as to non-linear constraints. Only the basic notions of vector calculus on Euclidean 3-space and on tangent bundles are needed. Elementary examples are illustrated.

引用

页数：33

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