完整约束奇异Lagrange量系统的正则对称性  

The Canonical Sysmmetry Properties of Holonomic Constrained Generalized Mechanical System

作　　者：李爱民[1] 

机构地区：[1]北京工业大学应用数理学院,北京100022

出　　处：《北京工业大学学报》2005年第S1期103-107,111,共6页Journal of Beijing University of Technology

摘　　要：对受完整外在约束并用奇异Lagrange量描述的广义力学系统,在充分考虑外在约束与系统的固有约束 的基础上,导出了完整外在约束奇异Lagrange量系统的正则方程;分析该系统在相空间中的对称性质,导出了相 应的正则Noether定理及该完整约束奇异Lagrange量系统的Poincare'-Cartan积分不变量．For a constrained generalized mechanical system with subsidiary holonomic constraints, based on holonomic constraint conditions and to take the inherent constrains into account, the generalized canonical e-quations are formulated. The canonical symmetries in phase space for such a system are studied and Noether theorem in the generalized canonical formalism and the generalized Poincare-Cartan integral invariant have been established.

关 键 词：完整外在约束 奇异Lagrange量 正则对称性 

分 类 号：O316[理学—一般力学与力学基础]