Response of a simple dependent switched capacitor circuit to a pulse-train input

This paper studies a simple nonautonomous circuit consisting of an RLC resonator, a dependent switch and a periodic pulsetrain input. The circuit can exhibit chaotic behavior if an equidistant pulse-train input is applied. The dynamics can be analyzed by a mapping procedure based on a one-dimensional (1-D) return map focusing on the moments when the input is applied. If the periodic pulse-train input is nonequidistant, the dynamics can be analyzed by a composite of different 1-D return maps corresponding to different pulse intervals. We show typical chaotic and periodic phenomena in this case. Using a simple test circuit, we can verify typical phenomena in the laboratory.