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

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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.

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Data availability statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Data generated during the current study will be made available at reasonable request.]

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Acknowledgements

This work is funded by the Center for Nonlinear Systems, Chennai Institute of Technology, India, vide funding number CIT/CNS/2022/RP-006.

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Authors and Affiliations

  1. Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai, 600069, Tamilnadu, India

    Karthikeyan Rajagopal & Suresh Kumarasamy

  2. Department of Electronics and Communications Engineering, University Centre for Research and Development, Chandigarh University, Mohali, 140413, Punjab, India

    Karthikeyan Rajagopal

  3. Centre for Computation Biology, Chennai Institute of Technology, Chennai, 600069, Tamilnadu, India

    Sathiyadevi Kanagaraj

  4. Department of Electronics and Communication Engineering, Prathyusha Engineering College, Chennai, Tamilnadu, India

    Anitha Karthikeyan

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  1. Karthikeyan Rajagopal
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Correspondence to Anitha Karthikeyan.

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Rajagopal, K., Kumarasamy, S., Kanagaraj, S. et al. Infinitely coexisting chaotic and nonchaotic attractors in a RLC shunted Josephson Junction with an AC bias current. Eur. Phys. J. B 95, 149 (2022). https://doi.org/10.1140/epjb/s10051-022-00410-0

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