Bursting dynamics in a population of oscillatory and excitable Josephson junction

TL;DR

This paper investigates parabolic bursting phenomena in a globally coupled network of mixed oscillatory and excitable Josephson junctions, revealing how network interactions induce complex bursting behavior governed by SNIC bifurcations.

Contribution

It demonstrates that bursting is a generic property in mixed Josephson junction networks with SNIC dynamics, and shows how synchronization and clustering emerge in such systems.

Findings

Bursting occurs over a broad parameter space in the network.

Above a certain coupling threshold, the network splits into synchronized clusters.

Excitable junctions induce slow dynamics leading to bursting.

Abstract

We report parabolic bursting in a globally coupled network of mixed population of oscillatory and excitable Josephson junctions. The resistive-capacitive shunted junction (RCSJ) model of the superconducitng device is used 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. In this SNIC regime, the bursting appears in a broad paramater space of the ensemble of mixed junctions. For a coupling value above a threshold, the network splits into two synchronized clusters when a reductionism approach is applied to reproduce the bursting behavior of the large network. The excitable junctions effectively induces a slow dynamics in the network to generate bursting. This bursting is a generic property of a globally coupled network with a mixed population of dynamical nodes where each node posseses the SNIC property.