Identical and reduced-order synchronizations of some Josephson junctions model

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...

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Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2022-12, Vol.95 (12), Article 197
Main Authors: Osseni, C. O. A., Monwanou, A. V.
Format: Article
Language:English
Subjects:
Analysis
Complex Systems
Condensed Matter Physics
Feedback control
Fluid- and Aerodynamics
Josephson junctions
Model reduction
Physics
Physics and Astronomy
Reduced order models
Regular Article - Statistical and Nonlinear Physics
Solid State Physics
Superconductors
Synchronism
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Summary: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. Graphic abstract
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/s10051-022-00462-2