Analysis of an Interrupted Circuit with Perturbed Spike Noise

Abstract

The size of spike noise may not be a constant value in the DC/DC converters, and therefore it is valuable to investigate the characteristics of the interrupted electric circuit with perturbed spike noise. In this paper, we change the size of spike noise using a pseudo random number, and investigate the characteristics of the circuit. First, we show the circuit model and following that we explain behavior of the waveform. Next, we define the return map and derive the bifurcation diagrams. Finally, we discuss the characteristics of the circuit with perturbed spike noise. We will show that perturbation of the spike noise does not affect period-doubling bifurcation but it affects the border-collision bifurcation.