The sinusoid and the phasor

2010/06/08 by Kushal Shah, Shah, Kushal, Harishankar Ramachandran +1
Mathematics · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Plasma Physics (physics.plasm-ph) #Soft Condensed Matter (cond-mat.soft) #cond-mat.soft #math-ph #math.CA #math.MP #physics.plasm-ph

paper · pdf · doi:10.48550/arxiv.1006.1522

2 pages, no figures

arxiv created 2010/06/10 · arxiv updated 2010/06/11

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.

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