Experimental study of an interrupted electric circuit with spike noise

Analysis of switched dynamical systems have been done under the assumption of theoretical switching action. However, the numerous unexpected effects occur with the switching action in the practical systems. The main purpose of this paper is to examine the dynamical effect of spike noise in an interrupted electric circuit. We firstly propose a circuit model and explain its dynamics. Then, we construct return map both of the circuits that include ideal switching or spike noise, respectively. Finally, we introduce the dynamical effect of spike noise by comparing the return maps and the one parameter bifurcation diagrams based on the laboratory experiment. As the result, we introduce the basic characteristics that a part of return map in the circuit with spike noise becomes 2-valued function and its huge impact to the circuit dynamics.