A Zerocrossing Analysis
Exactly Solvable and Integrable Systems
2008-07-01 v2
Abstract
(Abbr.) We consider a direct representation of a periodic time-function by means of its zero-crossings. The use of the zero-crossings as the describing parameters is made possible by a singular model of a strongly nonlinear electrical element. This new method is found helpful in the calculation and synthesis of a practically important system, and deserves attention of the mathematicians.
Cite
@article{arxiv.0806.4853,
title = {A Zerocrossing Analysis},
author = {Emanuel Gluskin},
journal= {arXiv preprint arXiv:0806.4853},
year = {2008}
}
Comments
The present work is published in the Proceedings of the Andronov Conference, which is not found in the Internet (only abstracts appear there). It is a rigorous treatment of the nonlinear integral equation that I introduced and studied in regard to a theory of fluorescent lamp circuits