https://doi.org/10.1140/epjb/s10051-022-00410-0
Regular Article - Statistical and Nonlinear Physics
Infinitely coexisting chaotic and nonchaotic attractors in a RLC shunted Josephson Junction with an AC bias current
1
Centre for Nonlinear Systems, Chennai Institute of Technology, 600069, Chennai, Tamilnadu, India
2
Department of Electronics and Communications Engineering, University Centre for Research and Development, Chandigarh University, 140413, Mohali, Punjab, India
3
Centre for Computation Biology, Chennai Institute of Technology, 600069, Chennai, Tamilnadu, India
4
Department of Electronics and Communication Engineering, Prathyusha Engineering College, Chennai, Tamilnadu, India
d
Mrs.anithakarthikeyan@gmail.com
Received:
15
May
2022
Accepted:
22
August
2022
Published online:
13
September
2022
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.
Copyright comment Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
