AN EXTENSION OF NEW FORM CANONICAL EQUATIONS TO GENERALIZED CLASSICAL MACHANICS

In this paper, the new form canonical equations are extended to the generalized classical mechanics and the generalized canonical equations are obtained. Then the generalized Poisson and Lagrange brackets and their characteristics are defined. The generalized canonical equations are expressed by Poisson bracket notation. In addition, the generalized Hamilton Variational principle and Hamilton-Jacobi's equations are established.