An accelerated Poincaré-map method for autonomous oscillators

摘要

A novel time-domain method for finding the periodic steady state of a free-running electrical oscillator is introduced. The method is based on the extrapolation technique MPE. The new method is applied to a family of artificial benchmark problems and to a real circuit (Colpitt’s oscillator). It turns out to have super-linearly convergence properties in both cases. Full implementational details are provided.