Spatiotemporal chaos in capacitively coupled intrinsic Josephson junction arrays and control by a shunted LCR series resonance circuit

The dynamics of capacitively coupled intrinsic Josephson junction arrays with a McCumber parameter βc<1 driven by a dc current are investigated by using numerical simulations. For the first time, spatiotemporal chaotic behaviors are found. Analysis of the dynamics of individual junctions shows that the chaos is caused by the strong diffusive coupling between the junctions in the array. The chaotic regions of different parameters are also presented, from which the conditions for chaos are deduced. The properties of the array shunted by an LCR series resonance circuit are also investigated. The results show that the spatiotemporal chaos can be effectively controlled by the shunted LCR circuit. This presents a new spatiotemporal chaos control method.