REDUCTION OF THE GENERALIZED CHAPLYGIN S EQUATIONS OF NON-HOLONOMIC CONSERVATIVE SYSTEMS IN THE EVENT SPACE, BY MEANS OF THE CYCLIC INTEGRAL

The condition for the existence of the cyclic integral of the non-holoao-mic conservative systems in the event space is discussed. Using the cyclic integral, the order of the generalized Chaplygin's equations is reduced, and the more generalized Routh's equations are obtained. An example is given.