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Identical and reduced-order synchronizations of some Josephson junctions model

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Abstract

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 \(I_{J}\) 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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Authors and Affiliations

  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

    C. O. A. Osseni & A. V. Monwanou

  2. Université d’Abomey-Calavi, BP: 613, Porto-Novo, Bénin

    C. O. A. Osseni & A. V. Monwanou

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  1. C. O. A. Osseni
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  2. A. V. Monwanou
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All authors have contributed equally to the paper.

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Correspondence to A. V. Monwanou.

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Osseni, C.O.A., Monwanou, A.V. Identical and reduced-order synchronizations of some Josephson junctions model. Eur. Phys. J. B 95, 197 (2022). https://doi.org/10.1140/epjb/s10051-022-00462-2

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