CONSTRUCTION OF EXACT INVARIANTS FOR CLASSICAL DYNAMICAL-SYSTEMS IN 3DIMENSIONS

Attempts are made to construct exact invariants for a variety of time- dependent classical dynamical systems in three dimensions. We make use of the dynamical algebraic method for this purpose and explore severa l new systems admitting the invariants. In particular, systems involvi ng both momentum and time dependences in two and three dimensions are investigated within this framework. With reference to the time-depende nt case in three dimensions some further generalizations of Ermakov sy stems are discussed. (C) 1997 Academic Press.