Influence of dissipative forces on the stability behavior of the steady motions of Lagrangian mechanical systems with cyclic coordinates

It is analyzed a stability problem for a holonomic system S, with n degree of freedom, having n-m cyclic coordinates. When S is assumed strictly dissipative with respect to all the coordinates, the integrals of momenta disappear and under suitable conditions there are motions along which the acyclic coordinates are constant and the corresponding velocity tend to zero for t going to infinity. The stability properties of these motions are analyzed.