Abstract Based on generalized Apell－Chetaev constraint conditions and to take the inherent constrains for singular Lagrangian into account, the generalized canonical equations for a general mechanical system with a singular higher-order Lagrangian and subsidiary constrains are formulated. The canonical symmetries in phase space for such a system are studied and Noether theorem and its inversion theorem in the generalized canonical formalism have been established.
Received: 24 January 2003
Revised: 18 February 2003
Accepted manuscript online:
Li Ai-Min (李爱民), Jiang Jin-Huan (江金环), Li Zi-Ping (李子平) Canonical symmetry properties of the constrained singular generalized mechanical system 2003 Chinese Physics 12 467
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