An accelerated Poincaré-map method for autonomous oscillators

Authors:
S. H. M. J. Houben;J. M. L. Maubach;R. M. M. Mattheij
Affiliations:
Scientific Computing Group, Department of Mathematics and Computing Science, Einghoven University of Technology, P.O. Box 513, 5600 MB Einghoven, The Netherlands;Scientific Computing Group, Department of Mathematics and Computing Science, Einghoven University of Technology, P.O. Box 513, 5600 MB Einghoven, The Netherlands;Scientific Computing Group, Department of Mathematics and Computing Science, Einghoven University of Technology, P.O. Box 513, 5600 MB Einghoven, The Netherlands
Venue:
Applied Mathematics and Computation
Year:
2003

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Abstract

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.