The geometrical theory of constraints applied to the dynamics of vakonomic mechanical systems:: The vakonomic bracket

被引：20

作者：

Martínez, S ^{[1
]}

Cortés, J ^{[1
]}

de León, M ^{[1
]}

机构：

[1] CSIC, Inst Matemat & Fis Fundamental, Madrid 28006, Spain

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2000年 / 41卷 / 04期

关键词：

D O I：

10.1063/1.533229

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A vakonomic mechanical system can be alternatively described by an extended Lagrangian using the Lagrange multipliers as new variables. Since this extended Lagrangian is singular, the constraint algorithm can be applied and a Dirac bracket giving the evolution of the observables can be constructed. (C) 2000 American Institute of Physics. [S0022-2488(00)02802-4].

引用

页码：2090 / 2120

页数：31

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