Dynamical analysis of autonomous Josephson junction jerk oscillator with cosine interference term embedded in FPGA and investigation of its collective behavior in a network

Ramakrishnan, Balamurali; Tamba, Victor Kamdoum; Natiq, Hayder; Tsafack, Alex Stéphane Kemnang; Karthikeyan, Anitha

doi:10.1140/epjb/s10051-022-00398-7

Cited by 6 publications

(4 citation statements)

References 32 publications

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“…Different JJ models exist in the literature as highlighted in the work of Kingni et al [11]and the citations therein, linking the various designs to different chaotic regimes with associated conditions. Complex dynamics associated with jerk JJ systems such as the autonomous JJ jerk model with cosine interference term [24,25], Hidden attractors in autonomous JJ jerk oscillators [26], multi-scroll attractors emanating from a jerk schematic using the JJ [27] were absent in the nonlinear and linear resistive-capacitive shunted JJ (RCSJJ) models, though could be achieved with the aid of applying a forcing or driving signal such as an alternating current (ac) source appearing in RCSJJ with cosine interference term [28], RCSJJ with unharmonic current phase relation [29], linear RCSJJ with low temperature [30], fractal RCSJJ with low and high temperature [31,32] or via coupling with other circuit designs in which research activities has priorities this domain with numerous fine applications. Oscillating electronic circuits are of great importance since they find practical and theoretical applications in chaotic systems.…”

Section: Introductionmentioning

confidence: 99%

Analysis and microcontroller implementation of Josephson junction driven by Wien bridge circuit

Sriram¹,

Godonou

Ainamon

et al. 2023

Phys. Scr.

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This paper recounts the dynamical investigations and microcontroller validation of Josephson junction (JJ) driven by Wien bridge circuit (WBC). Relying on the stability analysis of two equilibrium points found in JJ driven by WBC (JJDWBC), it is revealed that one equilibrium point is unconditionally stable while the other equilibrium point is unstable. The JJDWBC exhibits reverse period-doubling bifurcation, periodic attractors, period-doubling bifurcation, bistable chaotic attractors, and different presentations of monostable chaotic attractors. Partial and total amplitude controls are achieved by adding two controller parameters into the rate equations of JJDWBC. Finally, the microcontroller implementation is used to validate the dynamical behaviors found in JJDWBC.

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Section: Introductionmentioning

confidence: 99%

Analysis and microcontroller implementation of Josephson junction driven by Wien bridge circuit

Sriram¹,

Godonou

Ainamon

et al. 2023

Phys. Scr.

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“…Rajagopal et al [14] proposed a new dissipative chaotic jerk system with two quadratic nonlinearities, discussed its dynamic properties, and provided a circuit realization of the new jerk system. Chaotic jerk systems have applications in many areas, such as oscillators [3,15], microcontrollers [16], circuits [17,18], memristors [19,20], encryption [21], etc.…”

Section: Introductionmentioning

confidence: 99%

FPGA-Based Implementation of a New 3-D Multistable Chaotic Jerk System with Two Unstable Balance Points

et al. 2023

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Mechanical jerk systems have applications in several areas, such as oscillators, microcontrollers, circuits, memristors, encryption, etc. This research manuscript reports a new 3-D chaotic jerk system with two unstable balance points. It is shown that the proposed mechanical jerk system exhibits multistability with coexisting chaotic attractors for the same set of system constants but for different initial states. A bifurcation analysis of the proposed mechanical jerk system is presented to highlight the special properties of the system with respect to the variation of system constants. A field-programmable gate array (FPGA) implementation of the proposed mechanical jerk system is given by synthesizing the discrete equations that are obtained by applying one-step numerical methods. The hardware resources are reduced by performing pipeline operations, and, finally, the paper concludes that the experimental results of the proposed mechanical jerk system using FPGA-based design show good agreement with the MATLAB simulations of the same system.

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“…The RCSJJ circuit exhibits regular behavior only since the rate equation depicting the model is a secondorder differential system [30]. In the strive for complex behaviors as a consequence of the above-highlighted applications in the RCSJJ circuit of the JJ, different considerations have been exploited in the literature such as the inclusion of nonlinearities, adding forcing or stimulating signals such as the alternating current source to this RCSJJ circuit [31][32][33][34][35], and lastly through coupling with oscillatory circuits [36,37]. In the autonomous regime for the self-governing of the RCSJJ circuit, oscillatory circuits are expanding research probing via various coupling and integration perspectives for greater technological applications as highlighted above.…”

Section: Introductionmentioning

confidence: 99%

Chaos and multistability in Josephson junction spurred by a Wien bridge oscillator: microcontroller implementation, chaotic and coexisting attractors controls

Godonou,

Sriram,

Ngongiah

et al. 2023

Phys. Scr.

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This paper explores the dynamics, microcontroller realization, chaotic, and coexisting attractors controls in the Josephson junction (JJ) spurred by the Wien bridge oscillator (WBO). The JJ spurred by WBO (JJSWBO) is designed by coupling through a gain a resistive-capacitive shunted JJ (RCSJJ) circuit to a WBO. The JJSWBO exhibits bistable periodic, monostable chaotic, and coexisting attractors as well as period-doubling bifurcation to chaos. A microcontroller implementation of JJSWBO is used to establish the dynamical behaviors spotted in JJSWBO during the numerical simulations. Moreover, two configured single controllers are engrossed to subdue the chaotic and coexisting behavior in JJSWBO. Lastly, thanks to the linear augmentation method, the coexisting attractors of JJSWBO are controlled to the desired trajectory.

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Dynamical analysis of autonomous Josephson junction jerk oscillator with cosine interference term embedded in FPGA and investigation of its collective behavior in a network

Cited by 6 publications

References 32 publications

Analysis and microcontroller implementation of Josephson junction driven by Wien bridge circuit

Analysis and microcontroller implementation of Josephson junction driven by Wien bridge circuit

FPGA-Based Implementation of a New 3-D Multistable Chaotic Jerk System with Two Unstable Balance Points

Chaos and multistability in Josephson junction spurred by a Wien bridge oscillator: microcontroller implementation, chaotic and coexisting attractors controls

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