TIME-DEPENDENT CANONICAL PERTURBATION-THEORY .3. APPLICATION TO A SYSTEM WITH NONCONSTANT UNPERTURBED FREQUENCIES

In this communication, we report the results of the application of tim e dependent perturbation theory to a non-integrable Hamiltonian which is a perturbation on a Hamiltonian with nonconstant frequencies. The t heory provides good time dependent local constants of motion and also gives good approximation for mapping of solutions for a time limit det ermined by the nearest singularity in complex epsilon plane for fixed real time and the order of calculation.