Identical and reduced-order synchronizations of some Josephson junctions model

Osseni, Chakirou; Monwanou, A. V.

doi:10.1140/epjb/s10051-022-00462-2

Cited by 3 publications

(4 citation statements)

References 11 publications

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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%

“…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%

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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: Adaptive Synchronization Of the Fractal Junction Of Josephsonmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Melnikov chaos, control and synchronization of fractal Josephson junction

2023

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“…From this, researchers have proposed different models of Josephson junctions as follows [24]. The shunted linear resistive-capacitive junction (RCSJ) [25], the shunted nonlinear resistive-capacitive junction (SNRCJ) [26], the nonlinear shunted resistive-capacitive-inductive junction (RCLSJ) and the periodically modulated Josephson junction (PMJJ) [26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Control of the chaotic dynamics of the RCLSJ model of the Josephson junction by the frequency of an excitation current and the internal resistance of a coil

Kakpo,

Miwadinou

2024

Phys. Scr.

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In this paper, we controlled the chaotic dynamics of the RCLSJ model of the Josephson junction by the frequency of an excitation current and the internal resistance of an coil. We have used an alternating current source and the internal resistance of the coil of the inductive circuit is considered. The assembly is coupled to a shunted inductive junction (RCLSJ) model where the non-harmonic dynamics of the model is taken into account. The ﬁxed points of the system are determined and are analyzed from the differential equations which govern its dynamics. The numerical results showed that the model studied can be used in direct and alternating conditions depending on the value of the frequency of the excitation current and the phase difference of the junction. In continuous mode, the model exhibits chaotic behavior at the beginning and is regular thereafter. This initial chaotic behavior has become stable due to the internal resistance of the coil. In the alternative regime, the model presents more complex dynamic behaviors. The system behaves like a current adapter depending on the frequency and phase difference conditions of the junction. Comprehensive study of the system reveals many new forks and pathways leading to chaos that have been veriﬁed using hardware experiments in addition to numerical calculations.

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Nonlinear dynamics of a Josephson junction coupled to a diode and a negative conductance

Kakpo,

Miwadinou

2024

J Comput Electron

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Identical and reduced-order synchronizations of some Josephson junctions model

Cited by 3 publications

References 11 publications

Melnikov chaos, control and synchronization of fractal Josephson junction

Melnikov chaos, control and synchronization of fractal Josephson junction

Control of the chaotic dynamics of the RCLSJ model of the Josephson junction by the frequency of an excitation current and the internal resistance of a coil

Nonlinear dynamics of a Josephson junction coupled to a diode and a negative conductance

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