PHASE CONTROL : COMPARISON BETWEEN PULSED AND SINUSOIDAL PERTURBATIONS
We consider a comparison of the phase control technique when applied as a sinusoidal or square pulsed periodic perturbation. We explore the effect of such perturbations to the different terms of the Duffing oscillator. In both cases, the effects are specially effective when they modulates the cubic and the linear term and ineffective when applied to the driving term although their role is exchanged.
Our results highlight the highly nontrivial role of the phase when applying a second periodic perturbation to a chaotic system.