Dynamics and comparative study of the synchronization of some Josephson junction models

Osseni, Chakirou; Monwanou, A. V.

doi:10.1016/j.physc.2022.1354192

Cited by 1 publication

(5 citation statements)

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“…For a more detailed and complete analysis of the chaotic behaviors of the fractal junction, the influence of the non-harmonic constant γ of the super current on the dynamics of the system is studied in [7,8]. In this case, the term g j sin 2…”

Section: Fractal Josephson Junction Horseshoes Chaosmentioning

confidence: 99%

“…with real variables of the model of the fractal junction and to make simple the calculations, we use the trigonometric transformations from the work of Xu and Jing [5] for j ò [−2π; 2π] and 0 < k < 1/2. We perform this change of variables in order to reduce the trigonometric expressions found in equation (7)…”

Section: System Transformationmentioning

confidence: 99%

“…There are several synchronization techniques in the literature. C O A Osseni and A V Monwanou [7,8] achieved the reduced order synchronization of the fractal junction with that of the RCLSJ junction by applying the backstepping technique. Instead of developing a work on two different models, we show in this part the possibility of synchronizing two systems of a fractal junction by applying the adaptive method for its remarkable interests.…”

Section: Adaptive Synchronization Of the Fractal Junction Of Josephsonmentioning

confidence: 99%

“…Master-slave synchronization where a system called master imposes its rhythm on the one called slave has also been studied using single-dimensional or multi-dimensional commands. For example, C O A Osseni and A V Monwanou [7,8] have shown the possibility of achieving reduced order synchronization of RCLSJ and fractal junction models by considering the non-harmonic constant of the super current of the junction by applying the backstepping technique and without the use of feedback constants. The junctions of Josephson represent nowadays one of the models of application of the various knowledge mentioned above.…”

Section: Introductionmentioning

confidence: 99%

“…Canturk et al [18] completed this study by studying the influence of fractal parameters on the dynamics of the system for several values of its control parameters through the renormalization of its fractal resistance. Recently C O A Osseni and A V Monwanou [7] followed the same approach by studying the influence of the non-harmonic parameter of the super current on the dynamics of the fractal junction through bifurcation diagrams and Lyapunov exponents.…”

Section: Introductionmentioning

confidence: 99%

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Melnikov chaos, control and synchronization of fractal Josephson junction

2023

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Josephson junctions due to their memory and non-linearity properties have considerably impacted the exact sciences and technological fields in particular. In this study, we investigate the existence criteria of Smale's horseshoe chaos in a fractal junction by considering the non-harmonic constant of the super current of the junction. After having analytically studied the conditions of existence of this chaos by means of Melnikov's theorem and verifying its predictions by drawing the basins of attraction, we have analyzed the influence of certain control parameters on the dynamics of the system. The control and synchronization of the system have been carried out for its practical use in electronics in integrated circuits , for example, and in telecommunications for the storage of information and the securing of data. The motivation of this study is to bring out the possible and complete dynamics of a fractal junction by considering the non-harmonic constant of the super current of the junction in order to expand the old research work carried out and to promote a more detailed knowledge of the behaviors of this system.

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Section: Fractal Josephson Junction Horseshoes Chaosmentioning

confidence: 99%

Section: System Transformationmentioning

confidence: 99%

Section: Adaptive Synchronization Of the Fractal Junction Of Josephsonmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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