Regular Article - Statistical and Nonlinear Physics
Identical and reduced-order synchronizations of some Josephson junctions model
1 Laboratoire de la Mécanique des Fluides, de la Dynamique Nonlinéaire et de la Modélisation des Systèmes Biologiques (LMFDNMSB), Institut de Mathématiques et de Sciences Physiques, Porto-Novo, Bénin
2 Université d’Abomey-Calavi, BP: 613, Porto-Novo, Bénin
Accepted: 28 November 2022
Published online: 7 December 2022
In this work, the identical and reduced-order synchronizations between four different Josephson junction models are studied. First, we realized the synchronization between two Resistive–Capacitive–Inductive-Shunted Junction (RCLSJ) models taking into account its non-harmonic dynamics of the junction current IJ using the backstepping technique. Next, we showed that this third-order Josephson model can be synchronized with three other second-order Josephson models using both the feedback control technique and Lyapunov’s stability theory for different values of the non-harmonicity constant.
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