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physics.plasm-ph2010
The sinusoid and the phasor
Kushal Shah, Harishankar Ramachandran
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…
physics.plasm-ph2010
Asymptotic predictions using short-time data in oscillating billiards
Kushal Shah
Particle motion in a smoothly oscillating non-integrable billiard is known to result in unbounded energy growth. Though the asymptotic energy growth rate of an ensemble of particle…