2010/06/08 by Shah, Kushal, Ramachandran, Harishankar
#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)
paper · doi:10.48550/arxiv.1006.1522
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.