Non-Noether symmetries and Lutzky conserved quantities for mechanico-electrical systems

We apply the non-Noether symmetry theory for mechanical systems to Lagrange-Maxwell mechanico-electrical systems. For these systems, we derive the Lutzky conserved quantities from the corresponding equations of motion, the non-conservative and the dissipative forces, and the Lagrangian. Also, a condition that characterizes when a non-Noether symmetry leads to a Noether conservation law is presented.