Chaos Synchronization in Josephson Junctions

Abstract

In this paper, we have discussed the application of new nonlinear recursive controllers on Josephson junction (JJ) chaotic systems. Controlling bifurcation as well as chaos has been rapidly advancing in the last decade. Thus, emphasis has been placed on control design techniques which result in prescribed nonlinear performance dynamics for practical controlled processes. This study has shown that a nonlinear recursive controller is effective in controlling an undesirable JJ chaotic behavior. In addition to that, the synchronization of two JJ chaotic nonlinear dynamical systems can be used to advantage in communication systems. In fact, communication security is promising through chaos. Using nonlinear control method, we have demonstrated that it is possible to achieve synchronization in electronic circuits such as JJ. The study showed the effectiveness of the designed controller in communication signal synchronization. For the purpose of verification and comparison, we designed a control signal based on master and slave concept.

Adaptive MIMO Controller Design for Chaos Synchronization in Coupled Josephson Junctions via Fuzzy Neural Networks

“…The chaotic behavior of the RCLSJ model has been extensively studied by Dana, et al [5]. Afterward, there have been some control methods developed to control or synchronize RCLSJ model of Josephson Junction such as nonlinear feedback control [6], backstepping control [7], [8], delay linear feedback control [9], time delay feedback control [10] and sliding mode control [11]; however, some shortcomings exist. The nonlinear backstepping method has quite complicated procedure to design the controller while choosing the time de-lay is problematic in delay linear feedback.…”