On some conservation laws of conservative and non-conservative dynamic systems

This study is concerned with the derivation of conservation laws of both conservative and nonconservative dynamical systems with finite numbers of degrees of freedom. First, the derivation of generators of the infinitesimal transformations of the generalized coordinates and time from Noether's basic identity is discussed. In the second part, a special class of conservation laws of conservative dynamical systems which are called action integral conservation laws is developed.