Lie symmetries and conserved quantities of nonconservative nonholonomic systems in phase space

The invariance and conserved quantities of the nonconservative nonholonomic systems are studied by introducing the infinitesimal transformations in phase space. The Lie’s symmetrical determining equations are established. The Lie’s symmetrical structure equation is obtained. An example to illustrate the application of the result is given. Foundation item: the National Natural Science Foundation of China (19572018)