The sinusoid and the phasor
Plasma Physics
2010-06-11 v3 Soft Condensed Matter
Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
Mathieu equation is widely used to study several natural phenomenon. In this paper, we show that replacing the sinusoid in the Mathieu equation with a phasor can lead to solutions that behave in a totally different way. Solutions of Mathieu equation are either bounded or grow unboundedly at an exponential rate. Solutions of this new equation are always unbounded and grow linearly with time.
Cite
@article{arxiv.1006.1522,
title = {The sinusoid and the phasor},
author = {Kushal Shah and Harishankar Ramachandran},
journal= {arXiv preprint arXiv:1006.1522},
year = {2010}
}
Comments
2 pages, no figures