Effect of periodic thresholds on the stability of interrupted circuits with guaranteed chaos

In this work, we present a novel interrupted circuit model with guaranteed chaos, and we investigate the stabilization effect of a periodic threshold on the circuit operation. Previously investigated systems exhibit stable operation states for some range of parameter values, which is not true of our model. We obtain an exact solution for the circuit equation and derive the associated return maps. Furthermore, we define the conditions that induce bifurcations in the circuit, and we obtain the bifurcation curves describing the system. Finally, we demonstrate that the use of periodic thresholds stabilizes the operation of the circuit considered here.