Interference aided finite resonant response in an undamped forced oscillator

Shihabul Haque, Jayanta K. Bhattacharjee

We apply perturbative techniques to a driven undamped sinusoidal oscillator at resonance. The angular displacement, $\theta$, obeys the dynamics $\Ddotθ + ω^{2} \sinθ = H\cos{ωt}$. The…