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A Note on the Dynamics of Modified rf-SQUIDs: Simulations and Possible Control over Oscillations

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  • Nikolay Kyurkchiev

    (Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 8, 1113 Sofia, Bulgaria
    Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24, Tzar Asen Str., 4000 Plovdiv, Bulgaria)

  • Tsvetelin Zaevski

    (Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 8, 1113 Sofia, Bulgaria)

  • Anton Iliev

    (Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24, Tzar Asen Str., 4000 Plovdiv, Bulgaria)

  • Todor Branzov

    (Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 8, 1113 Sofia, Bulgaria)

Abstract

The so-call SQUIDs (abbreviated from superconducting quantum interference device) are very sensitive apparatuses especially built for metering very low magnetic fields. These systems have applications in various practical fields—biology, geology, medicine, different engineering areas, etc. Their features are mainly based on superconductors and the Josephson effect. They can be differentiated into two main groups—direct current (DC) and radio frequency (RF) SQUIDs. Both of them were constructed in the 1960s at Ford Research Labs. The main difference between them is that the second ones use only one superconducting tunnel junction. This reduces their sensitivity, but makes them significantly cheaper. We investigate namely the rf-SQUIDs in the present work. A number of authors devote their research to the rf-SQUIDs driven by an oscillating external flux. We aim to enlarge the theoretical base of these systems by adding new factors in their dynamics. Several particular cases are explored and simulated. We demonstrate also some specialized modules for investigating the proposed model. One application for possible control over oscillations is also discussed. It is based on the Fourier transform and, as a consequence, on the characteristic function of some probability distributions.

Suggested Citation

  • Nikolay Kyurkchiev & Tsvetelin Zaevski & Anton Iliev & Todor Branzov, 2025. "A Note on the Dynamics of Modified rf-SQUIDs: Simulations and Possible Control over Oscillations," Mathematics, MDPI, vol. 13(5), pages 1-16, February.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:5:p:722-:d:1598246
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    References listed on IDEAS

    as
    1. Ostrovskii, Valerii Yu. & Rybin, Vyacheslav G. & Karimov, Artur I. & Butusov, Denis N., 2022. "Inducing multistability in discrete chaotic systems using numerical integration with variable symmetry," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    2. Nikolay Kyurkchiev & Tsvetelin Zaevski & Anton Iliev & Todor Branzov & Vesselin Kyurkchiev & Asen Rahnev, 2024. "Dynamics of Some Perturbed Morse-Type Oscillators: Simulations and Applications," Mathematics, MDPI, vol. 12(21), pages 1-23, October.
    3. Maksim Galchenko & Petr Fedoseev & Valery Andreev & Endre Kovács & Denis Butusov, 2024. "Semi-Implicit Numerical Integration of Boundary Value Problems," Mathematics, MDPI, vol. 12(23), pages 1-23, December.
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