Identical and reduced-order synchronizations of some Josephson junctions model

C. O. A. Osseni () and A. V. Monwanou ()
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C. O. A. Osseni: Institut de Mathématiques et de Sciences Physiques
A. V. Monwanou: Institut de Mathématiques et de Sciences Physiques

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 12, 1-13

Abstract: 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 $$I_{J}$$ 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. Graphic abstract

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00462-2

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