Microcontroller Implementation, Chaos Control, Synchronization and Antisynchronization of Josephson Junction Model

Rolande Tsapla Fotsa (Department of Mechanical Engineering, College of Technology, University of Buea, P. O. Box: 63 Buea, Cameroon)
André Rodrigue Tchamda (University of Dschang)
Alex Stephane Kemnang Tsafack (University of Dschang)
Sifeu Takougang Kingni (University of Maroua)

International Journal of Robotics and Control Systems
Vol 1, No 2 (2021)

The microcontroller implementation, chaos control, synchronization, and antisynchronization of the nonlinear resistive-capacitive-inductive shunted Josephson junction (NRCISJJ) model are reported in this paper. The dynamical behavior of the NRCISJJ model is performed using phase portraits, and time series. The numerical simulation results reveal that the NRCISJJ model exhibits different shapes of hidden chaotic attractors by varying the parameters. The existence of different shapes of hidden chaotic attractors is confirmed by microcontroller results obtained from the microcontroller implementation of the NRCISJJ model. It is theoretically demonstrated that the two designed single controllers can suppress the hidden chaotic attractors found in the NRCISJJ model. Finally, the synchronization and antisynchronization of unidirectional coupled NRCISJJ models are studied by using the feedback control method.  Thanks to the Routh Hurwitz stability criterion, the controllers are designed in order to control chaos in JJ models and achieved synchronization and antisynchronization between coupled NRCISJJ models. Numerical simulations are shown to clarify and confirm the control, synchronization, and antisynchronization.