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

Godonou, Daniel Maoussi; Sriram, Balakrishnan; Ngongiah, Isidore Komofor; Ainamon, Cyrille; Rajagopal, Karthikeyan

doi:10.1088/1402-4896/ad0fcb

Cited by 3 publications

(2 citation statements)

References 56 publications

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“…It is easy to notice that figure 7 reproduces the numerical simulations of phase planes in figure 3 while figure 8 reproduces the ones in figure 4, portraying a great level of similarity between the numerical and microcontroller results. The reliability of this technique of implementation permits the comparison of results as cited by Ngongiah et al [48].…”

Section: Theoretical Probing and Microcontroller Implementation Of As...mentioning

confidence: 80%

Autonomous snap oscillator with only one steady state: dynamical probing, controls, pseudo-random number generation and difference synchronization

Alexander,

Metsebo,

Chamgoué

et al. 2024

Phys. Scr.

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The theoretical probing, microcontroller implementation, amplitude controls, chaos control, -pseudo-random number generation (PRNG), and difference synchronization of autonomous snap oscillator with only one steady state (ASOOSS) are studied in this paper. The ASOOSS exhibits self-excited complex attractors, periodic oscillations, coexistence of chaotic hidden attractors with a stable steady state, and hidden chaotic attractors. The simulated attractors are endorsed by the microcontroller execution of ASOOSS. Then, the total and partial controls of the amplitude of ASOOSS are demonstrated by using newly inserted parameters. Moreover, the efficacy of the configured single controller in suppressing chaos within ASOOSS is demonstrated through both analytical and numerical analyses. Furthermore, the binary data generated by the ASOOSS-based PRNG successfully passes the NIST 800–22 statistical tests, providing proof of the random nature of the ASOOSS-based PRNG and making it suitable for digital applications based on chaos. Additionally, controllers are devised to enable differential synchronization of three identical coupled chaotic ASOOSS systems. The effectiveness of the differential synchronization approach is validated through numerical simulations of the coupled chaotic ASOOSS systems.

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Section: Theoretical Probing and Microcontroller Implementation Of As...mentioning

confidence: 80%

Autonomous snap oscillator with only one steady state: dynamical probing, controls, pseudo-random number generation and difference synchronization

Alexander,

Metsebo,

Chamgoué

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…Chaotic systems, as described in the literature, refer to deterministic dynamical models that exhibit peculiar and non-repetitive evolution patterns [1][2][3][4]. In the realm of chaos theory and its practical uses, the introduction of novel complex models and the refinement of existing complex structures play a significant role [5].…”

Section: Introductionmentioning

confidence: 99%

Autonomous three-dimensional oscillator with two and four wings attractors embedded in the microcontroller: analysis, amplitude controls, random number generator, and image encryption application

Alexander,

Emin,

Ngongiah

et al. 2024

Phys. Scr.

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Robust chaotic systems offer unpredictability, complex dynamics, noise-like properties, efficient bifurcation behavior, and the ability to model real-world phenomena, making them valuable in diverse scientific and engineering applications. This paper details on the dynamical appraisal, amplitude controls, microcontroller execution, Random number generator (RNG) of an autonomous three-dimensional (3D) oscillator with two and four wings attractors (ATDOTFWA), and its image encryption application. Thanks to the Routh-Hurwitz criteria, five steady states found in the ATDOTFWA are classified as stable or unstable, depending on its two control parameters. During the numerical simulations employing the Runge-Kutta scheme, the ATDOTFWA exhibit a wide range of dynamic behaviors, including no oscillations, Hopf bifurcation, limit cycle, five distinct presentations of two wings chaotic structures, monostable and bistable two wings chaotic structures, bistable and monostable regular oscillations, chaotic bursting characteristics, coexistence of period-2-oscillations and four wings chaotic structure, and four wings chaotic attractor which were validated experimentally by the microcontroller implementation. The total and partial controls of the amplitude are achieved in the ATDOTFWA. A RNG is designed based on the ATDOTFWA, and the generated random numbers are successfully tested using the ENT and NIST 800-22 statistical test suites, demonstrating the reliability of the ATDOTFWA-based RNG. This reliability is further confirmed through the application of the ATDOTFWA-based RNG in an efficient and secure image encryption process, where the generated random numbers are used as the encryption key. The effectiveness of the image encryption process is validated through comprehensive cryptanalysis, with an encryption time of 0.1923 s for a 512×512 image, an average normalized pixel change rate (NPCR) of 99.6126%, an average unified average changing intensity (UACI) of 33.4578%, and an average information entropy of 7.9994.

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Dynamical probing and multiple actions of linear offset boosting of constants in Josephson junction instigated by Wien bridge oscillator embedded in the microcontroller

Sriram,

Godonou,

Ainamon

et al. 2024

Pramana - J Phys

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

Cited by 3 publications

References 56 publications

Autonomous snap oscillator with only one steady state: dynamical probing, controls, pseudo-random number generation and difference synchronization

Autonomous snap oscillator with only one steady state: dynamical probing, controls, pseudo-random number generation and difference synchronization

Autonomous three-dimensional oscillator with two and four wings attractors embedded in the microcontroller: analysis, amplitude controls, random number generator, and image encryption application

Dynamical probing and multiple actions of linear offset boosting of constants in Josephson junction instigated by Wien bridge oscillator embedded in the microcontroller

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