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Published on: May 9, 2021
Bursting dynamics in a population of oscillatory and excitable Josephson junctions
Chittaranjan Hens1,2, Pinaki Pal3, Syamal K Dana1
1CSIR-Indian Institute of Chemical Biology, Kolkata 700032, India.
Abstract:
We report an emergent bursting dynamics in a globally coupled network of mixed population of oscillatory and excitable Josephson junctions. The resistive-capacitive shunted junction (RCSJ) model of the superconducting device is considered for this study. We focus on the parameter regime of the junction where its dynamics is governed by the saddle-node on invariant circle (SNIC) bifurcation. For a coupling value above a threshold, the network splits into two clusters when a reductionism approach is applied to reproduce the bursting behavior of the large network. The excitable junctions effectively induce a slow dynamics on the oscillatory units to generate parabolic bursting in a broad parameter space. We reproduce the bursting dynamics in a mixed population of dynamical nodes of the Morris-Lecar model.
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