Abstract
Classical Noether theorem and its generalization are given in configuration space and expressed in terms of Lagrange variables. The Noether Theorems 1, 2 in phase space for holonomic singluar system (of which the Lagrangian function is singular) are discussed, Here the Noether theorem and its inverse theorem in canonical formalism for nonholonomic nonconservative singular system are further investigated. Consider a nonholonomic nonconservative system whose motion is described in terms
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