Reduction of constrained systems with symmetries

被引：29

作者：

Cantrijn, F

de Leon, M

Marrero, JC

de Diego, DM

机构：

[1] State Univ Ghent, Div Theoret Mech, B-9000 Ghent, Belgium

[2] Fund Sci Res Flanders, Brussels, Belgium

[3] CSIC, Inst Matemat & Fis Fundamental, E-28006 Madrid, Spain

[4] Univ La Laguna, Fac Matemat, Dept Matemat Fundamental, Tenerife, Canary Islands, Spain

[5] Univ Valladolid, Fac CC Econ & Empresariales, Dept Econ Aplicada Matemat, E-47011 Valladolid, Spain

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1999年 / 40卷 / 02期

关键词：

D O I：

10.1063/1.532686

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A general model is proposed for constrained dynamical systems on a symplectic manifold which covers, among others, the description of Lagrangian and Hamiltonian systems with nonholonomic constraints and the canonical description of mechanical systems with a singular Lagrangian. The reduction properties of these systems in the presence of symmetry are investigated within this general framework. (C) 1999 American Institute of Physics. [S0022-2488(99)00902-0].

引用

页码：795 / 820

页数：26

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