The sinusoid and the phasor

Details The sinusoid and the phasor The sinusoid and the phasor

2010-06-08

arxiv.org/abs/1006.1522v3

Physics

Plasma Physics

2 pages, no figures

Scientific paper

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.

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