Effect of nonsinusoidal periodic forces in Duffing oscillator: Numerical and analog simulation studies

We consider the effect of different nonsinusoidal periodic forces like square wave, triangle wave, sawtooth wave on Duffing oscillator and show that the system can undergo distinctly modified bifurcation structure, generation of new periodic regimes, reverse period-doubling bifurcations, intermittency, antimonotonicity, induction of crises. The dynamics was studied numerically using one parameter bifurcation diagrams, phase portraits and Lyapunov exponents. Most of these numerical studies are in good agreement with observations from analog circuit simulation experiments.