Time dependent canonical perturbation theory Ⅲ: Application to a system with nonconstant unperturbed frequencies

摘要

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