https://doi.org/10.1140/epjp/s13360-023-04540-x
Regular Article
Collective dynamics of a Josephson junction and memristor synapse-coupled Hindmarsh-Rose neurons
1
Centre for Nonlinear Systems, Chennai Institute of Technology, 600 069, Chennai, Tamilnadu, India
2
Department of Computer science and Engineering, Vemu Institute of Technology, 517112, Chitoor, Andhra Pradesh, India
3
Department of Electronics and Communications Engineering, University Centre for Research and Development, Chandigarh University, Mohali, Punjab, India
Received:
22
August
2023
Accepted:
27
September
2023
Published online:
9
October
2023
Magnetic flux and Josephson junctions play intriguing roles in manifesting the dynamics of biological neurons. To comprehend their importance, we consider a pair of coupled 2D Hindmarsh-Rose (HR) neurons. We begin by investigating the dynamical behavior of diffusively coupled neurons and discover the existence of chaos within a limited range of coupling coefficients. Furthermore, the incorporation of Josephson junctions into the system is found to enhance the complexity of the system dynamics, including the possibility of hyper-chaotic behavior, which depends on the junction coefficient and coupling strength. Additionally, we investigate the impact of memristor synapse coupling in HR neurons both in the presence and absence of Josephson junctions. Our findings indicate that complex behaviors are more pronounced when Josephson junctions are present compared to their absence. In addition, we look into the associated dynamics of a collection of neurons with Josephson junctions, which leads to a transition to a coherent oscillatory state. Furthermore, the flux-coupled HR neurons with Josephson junctions lead to a resting state in the neurons. These observations provide clear evidence that coupled neurons via Josephson junctions enable the manifestation of rich, complex dynamics, while the interplay of magnetic flux with Josephson junctions influences the system toward coherent oscillations or quiescence.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) 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 Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) 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.
