Controlling Chaos in Josephson-Junction Using Nonlinear Backstepping Controller

In this paper, a nonlinear backstepping controller has been designed to control bifurcation as well as incipient chaos that has been experienced in the RCLSJ (shunted nonlinear resistive-capacitive-inductance) Josephson-Junction. The results show that the system, without controller, has a dangerous Hopf bifurcation point that lead to chaotic behavior. For certain values of the external direct current (I0), the system becomes chaotic. On the other hand, the nonlinear backstepping controller converts the chaotic region into a stable periodic solution region

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