Coherent libration to coherent rotational dynamics via chimeralike states and clustering in Josephson Junction array

TL;DR

This paper investigates how Josephson junction arrays exhibit different coherent behaviors, such as librational and rotational motions, and transitions to complex states like chimeralike and clustered states, using numerical analysis and new measures.

Contribution

It introduces novel measures to characterize dynamical regimes and maps the transitions between different states in Josephson junction arrays.

Findings

Identification of librational and rotational states in Josephson junction arrays.

Discovery of transitions to chimeralike and clustered states at intermediate coupling.

Development of libration and clustering indices to analyze dynamical regimes.

Abstract

An array of excitable Josephson junctions under global mean-field interaction and a common periodic forcing shows emergence of two important classes of coherent dynamics, librational and rotational motion in the weaker and stronger coupling limits, respectively, with transitions to chimeralike states and clustered states in the intermediate coupling range. In this numerical study, we use the Kuramoto complex order parameter and introduce two measures, a libration index and a clustering index to characterize the dynamical regimes and their transition and locate them in a parameter plane.