IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v95y2022i9d10.1140_epjb_s10051-022-00413-x.html
   My bibliography  Save this article

Josephson junction based on high critical-temperature superconductors: analysis, microcontroller implementation, and suppression of coexisting and chaotic attractors

Author

Listed:
  • Isidore Komofor Ngongiah

    (University of Bamenda)

  • Balamurali Ramakrishnan

    (Chennai Institute of Technology)

  • Hayder Natiq

    (Imam Ja’afar Al-Sadiq University)

  • Justin Roger Mboupda Pone

    (University of Dschang)

  • Gaetan Fautso Kuiate

    (University of Bamenda
    National Higher Polytechnic Institute, University of Bamenda)

Abstract

A Josephson junction (JJ) based on high critical-temperature superconductors described by a linear resistive–capacitive–inductance shunted junction (LRCLSJ) model with unharmonic current-phase relation (UCPR) is theoretically and experimentally investigated in this paper. The numerical simulations indicate that JJ based on high critical-temperature superconductors exhibits excitable mode, regular spiking, periodic bursting, relaxation oscillations, chaotic attractors, and coexisting attractors. The theoretical investigations are verified experimentally through the microcontroller implementation. In addition, the coexistence between chaotic and limit cycle attractors found in JJ based on high critical-temperature superconductors is controlled to the desired trajectory using the linear augmentation control method. Finally, analytical calculations and numerical simulations are carried out to show the serviceableness of the two designed single controllers in suppressing chaos in JJ based on high critical-temperature superconductors. Graphical abstract

Suggested Citation

  • Isidore Komofor Ngongiah & Balamurali Ramakrishnan & Hayder Natiq & Justin Roger Mboupda Pone & Gaetan Fautso Kuiate, 2022. "Josephson junction based on high critical-temperature superconductors: analysis, microcontroller implementation, and suppression of coexisting and chaotic attractors," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(9), pages 1-13, September.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:9:d:10.1140_epjb_s10051-022-00413-x
    DOI: 10.1140/epjb/s10051-022-00413-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/s10051-022-00413-x
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1140/epjb/s10051-022-00413-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Hu, Cheng & Yu, Juan, 2016. "Generalized intermittent control and its adaptive strategy on stabilization and synchronization of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 262-269.
    2. Sifeu Takougang Kingni & Karthikeyan Rajagopal & Serdar Çiçek & Andre Cheukem & Victor Kamdoum Tamba & Gaetan Fautso Kuiate, 2020. "Dynamical analysis, FPGA implementation and its application to chaos based random number generator of a fractal Josephson junction with unharmonic current-phase relation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(3), pages 1-11, March.
    3. E. Neumann & A. Pikovsky, 2003. "Slow-fast dynamics in Josephson junctions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 34(3), pages 293-303, August.
    4. Yang, Xiao-Song & Li, Qingdu, 2006. "A computer-assisted proof of chaos in Josephson junctions," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 25-30.
    5. Sifeu Takougang Kingni & Gaetan Fautso Kuiate & Romanic Kengne & Robert Tchitnga & Paul Woafo, 2017. "Analysis of a No Equilibrium Linear Resistive-Capacitive-Inductance Shunted Junction Model, Dynamics, Synchronization, and Application to Digital Cryptography in Its Fractional-Order Form," Complexity, Hindawi, vol. 2017, pages 1-12, October.
    6. Shehzaad Kaka & Matthew R. Pufall & William H. Rippard & Thomas J. Silva & Stephen E. Russek & Jordan A. Katine, 2005. "Mutual phase-locking of microwave spin torque nano-oscillators," Nature, Nature, vol. 437(7057), pages 389-392, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ramadoss, Janarthanan & Ngongiah, Isidore Komofor & Chamgoué, André Chéagé & Kingni, Sifeu Takougang & Rajagopal, Karthikeyan, 2023. "Fractal resistive–capacitive–inductive shunted Josephson junction: Theoretical investigation and microcontroller implementation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ramadoss, Janarthanan & Ngongiah, Isidore Komofor & Chamgoué, André Chéagé & Kingni, Sifeu Takougang & Rajagopal, Karthikeyan, 2023. "Fractal resistive–capacitive–inductive shunted Josephson junction: Theoretical investigation and microcontroller implementation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).
    2. Karthikeyan Rajagopal & Suresh Kumarasamy & Sathiyadevi Kanagaraj & Anitha Karthikeyan, 2022. "Infinitely coexisting chaotic and nonchaotic attractors in a RLC shunted Josephson Junction with an AC bias current," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(9), pages 1-9, September.
    3. Guo, Beibei & Xiao, Yu, 2023. "Intermittent synchronization for multi-link and multi-delayed large-scale systems with semi-Markov jump and its application of Chua’s circuits," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    4. Ding, Dawei & Yan, Jie & Wang, Nian & Liang, Dong, 2017. "Pinning synchronization of fractional order complex-variable dynamical networks with time-varying coupling," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 41-50.
    5. Ngongiah, Isidore Komofor & Ramakrishnan, Balamurali & Njitacke, Zeric Tabekoueng & Kuiate, Gaetan Fautso & Kingni, Sifeu Takougang, 2022. "Resistive–capacitive shunted Josephson junction with unharmonic current-phase relation: Analysis and microcontroller implementation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    6. Ren, Hai-Peng & Tian, Kun & Grebogi, Celso, 2020. "Topological horseshoe in a single-scroll Chen system with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    7. Sun, Yuting & Hu, Cheng & Yu, Juan & Shi, Tingting, 2023. "Synchronization of fractional-order reaction-diffusion neural networks via mixed boundary control," Applied Mathematics and Computation, Elsevier, vol. 450(C).
    8. Tommaso Menara & Giacomo Baggio & Dani Bassett & Fabio Pasqualetti, 2022. "Functional control of oscillator networks," Nature Communications, Nature, vol. 13(1), pages 1-13, December.
    9. Uçar, Ahmet & Lonngren, Karl E. & Bai, Er-Wei, 2007. "Chaos synchronization in RCL-shunted Josephson junction via active control," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 105-111.
    10. Sifeu Takougang Kingni & Gaetan Fautso Kuiate & Romanic Kengne & Robert Tchitnga & Paul Woafo, 2017. "Analysis of a No Equilibrium Linear Resistive-Capacitive-Inductance Shunted Junction Model, Dynamics, Synchronization, and Application to Digital Cryptography in Its Fractional-Order Form," Complexity, Hindawi, vol. 2017, pages 1-12, October.
    11. Yalçin, Müştak E., 2007. "Multi-scroll and hypercube attractors from a general jerk circuit using Josephson junctions," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1659-1666.
    12. Yan Li & Zhitao Zhang & Chen Liu & Dongxing Zheng & Bin Fang & Chenhui Zhang & Aitian Chen & Yinchang Ma & Chunmei Wang & Haoliang Liu & Ka Shen & Aurélien Manchon & John Q. Xiao & Ziqiang Qiu & Can-M, 2024. "Reconfigurable spin current transmission and magnon–magnon coupling in hybrid ferrimagnetic insulators," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    13. Mezatio, Brice Anicet & Motchongom, Marceline Tingue & Wafo Tekam, Blaise Raoul & Kengne, Romanic & Tchitnga, Robert & Fomethe, Anaclet, 2019. "A novel memristive 6D hyperchaotic autonomous system with hidden extreme multistability," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 100-115.
    14. Rouven Dreyer & Alexander F. Schäffer & Hans G. Bauer & Niklas Liebing & Jamal Berakdar & Georg Woltersdorf, 2022. "Imaging and phase-locking of non-linear spin waves," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    15. Steffen Wittrock & Salvatore Perna & Romain Lebrun & Katia Ho & Roberta Dutra & Ricardo Ferreira & Paolo Bortolotti & Claudio Serpico & Vincent Cros, 2024. "Non-hermiticity in spintronics: oscillation death in coupled spintronic nano-oscillators through emerging exceptional points," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    16. J. De Abreu & P. García & J. García, 2017. "A Deterministic Approach To The Synchronization Of Nonlinear Cellular Automata," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 20(04n05), pages 1-11, June.
    17. Venditti, Claudia & Adrover, Alessandra & Giona, Massimiliano, 2022. "Inertial effects and long-term transport properties of particle motion in washboard potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    18. Miguel Romera & Philippe Talatchian & Sumito Tsunegi & Kay Yakushiji & Akio Fukushima & Hitoshi Kubota & Shinji Yuasa & Vincent Cros & Paolo Bortolotti & Maxence Ernoult & Damien Querlioz & Julie Grol, 2022. "Binding events through the mutual synchronization of spintronic nano-neurons," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    19. Zhang, Lingzhong & Lu, Jianquan & Jiang, Bangxin & Huang, Chi, 2023. "Distributed synchronization of delayed dynamic networks under asynchronous delay-dependent impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:eurphb:v:95:y:2022:i:9:d:10.1140_epjb_s10051-022-00413-x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.