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Infinitely coexisting chaotic and nonchaotic attractors in a RLC shunted Josephson Junction with an AC bias current

Author

Listed:
  • Karthikeyan Rajagopal

    (Chennai Institute of Technology
    University Centre for Research and Development, Chandigarh University)

  • Suresh Kumarasamy

    (Chennai Institute of Technology)

  • Sathiyadevi Kanagaraj

    (Chennai Institute of Technology)

  • Anitha Karthikeyan

    (Prathyusha Engineering College)

Abstract

Josephson Junction (JJ) plays an essential role in superconducting electronics. The Josephson Junction may be classified into different kinds based on the requirements and typically studied under direct bias current. In contrast to prior reports, in this paper, we consider resistive–capacitive–inductance (RLC) shunted Josephson Junction by replacing the direct current as alternating bias current. Using the continuation diagram, we first discuss the stability of equilibrium points. Followed by the dynamical characteristics of such shunted Josephson Junction are explored by varying periodic and quasi-periodic alternating bias currents. We show the periodic bias current exhibits a chaotic behavior while the quasi-periodic bias current displays chaotic as well as strange nonchaotic attractors. We then validated the coexistence of multiple attractors in the parameter space by varying the initial conditions. Finally, the existence of such strange nonchaotic attractors is confirmed using various techniques, such as singular-continuous spectrum, separation of nearby trajectories, and distribution of finite-time Lyapunov exponents. Graphic abstract

Suggested Citation

  • 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.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:9:d:10.1140_epjb_s10051-022-00410-0
    DOI: 10.1140/epjb/s10051-022-00410-0
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    References listed on IDEAS

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    1. Marius-F. Danca & Nikolay Kuznetsov, 2021. "Hidden Strange Nonchaotic Attractors," Mathematics, MDPI, vol. 9(6), pages 1-19, March.
    2. 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.
    3. Di-Yi Chen & Wei-Li Zhao & Xiao-Yi Ma & Run-Fan Zhang, 2012. "Control and Synchronization of Chaos in RCL-Shunted Josephson Junction with Noise Disturbance Using Only One Controller Term," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, July.
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    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.
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