Synchronization of two RCL shunted Josephson Junctions

This paper deals with the synchronization of two identical RCL-shunted Josephson Junctions (RCLSJJs). The RCLSJJ displays chaotic behavior for certain values of the parameters of the circuit. Two control schemes are proposed for the synchronization of two identical RCLSJJs. The proofs of these controllers are based on the Lyapunov theory. The proposed controllers are validated through MATLAB simulation results which indicate that the proposed schemes are very effective in synchronizing two RCLSJJs.