Synchronization of chaos in RCL-shunted Josephson junction using a simple adaptive controller

In this paper, a simple adaptive control is proposed for the synchronization of chaotic dynamics of resistive–capacitive–inductive-shunted Josephson junctions (RCLSJ). The synchronization problem is investigated based on a drive–response system configuration consisting of two identical RCLSJ with and without identical system parameters. In addition, the synchronization when the system parameters are unknown is considered based on adaptive parameter control estimation. Sufficient conditions for global asymptotic synchronization are given and numerical simulations are employed to demonstrate the efficiency of the adaptive control scheme. In the presence of noise, we also show that the synchronization is robust and discuss the implication of our adaptive control technique in rapid single flux quantum (RSFQ) devices.

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