The Canonical Sysmmetry Properties of Holonomic Constrained Generalized Mechanical System

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.