Control and synchronization of chaos in RCL-shunted Josephson junction using backstepping design

This paper investigates the control and synchronization of chaotic dynamics in RCL-shunted Josephson junctions based on backstepping nonlinear control theory. The method consists of a recursive approach that interlaces the choice of a Lyapunov function with the control. The method was employed to eliminate the chaotic behavior exhibited by the RCL-shunted Josephson junctions as well as to achieve global asymptotic synchronization between a drive-response RCLSJ system with different system parameters. Numerical simulations have been employed to verify the effectiveness of the control scheme; while the closed loop systems with the control are perfectly modeled using SIMULINK block.