title: Bursting dynamics in a population of oscillatory and excitable Josephson junctions.
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.
authors.affiliation: CSIR-Indian Institute of Chemical Biology, Kolkata 700032, India.|Department of Mathematics, Bar-Ilan University, Ramat Gan 52900, Israel.
authors.forename: Chittaranjan
authors.initials: C
authors.lastname: Hens
authors.affiliation: Department of Mathematics, National Institute of Technology, Durgapur 713209, India.
authors.forename: Pinaki
authors.initials: P
authors.lastname: Pal
authors.affiliation: CSIR-Indian Institute of Chemical Biology, Kolkata 700032, India.
authors.forename: Syamal K
authors.initials: SK
authors.lastname: Dana