Extreme events in a network of heterogeneous Josephson junctions

Arnob Ray, Arindam Mishra, Dibakar Ghosh, Tomasz Kapitaniak, Syamal K. Dana, and Chittaranjan Hens
Phys. Rev. E 101, 032209 – Published 13 March 2020

Abstract

We report intermittent large spiking events in a heterogeneous network of forced Josephson junctions under the influence of repulsive interaction. The response of the individual junctions has been inspected instead of the collective response of the ensemble, which reveals the large spiking events in a subpopulation with characteristic features of extreme events (EE). The network splits into three clusters of junctions, one in coherent libration, one in incoherent rotational motion, and another subpopulation originating EE, which resembles a chimeralike pattern. EE migrates spatially from one to another subpopulation of junctions with the repulsive strength. The origin of EE in a subpopulation and chimera pattern is a generic effect of distributed damping parameter and repulsive interaction, which we verify with another network of the Liénard system. EE originates in the subpopulation via a local riddling of in-phase synchronization. The probability density function of event heights confirms the rare occurrence of large events and the return time of EE as expressed by interevent intervals in the subgroup follows a Poisson distribution. The mechanism of the origin of such a unique clustering is explained qualitatively.

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  • Received 5 August 2019
  • Revised 3 February 2020
  • Accepted 4 February 2020

DOI:https://doi.org/10.1103/PhysRevE.101.032209

©2020 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear DynamicsNetworks

Authors & Affiliations

Arnob Ray1,*, Arindam Mishra1,2,†, Dibakar Ghosh1, Tomasz Kapitaniak3, Syamal K. Dana2,3, and Chittaranjan Hens1,‡

  • 1Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700108, India
  • 2Department of Mathematics, Jadavpur University, Kolkata 700032, India
  • 3Division of Dynamics, Faculty of Mechanical Engineering, Lodz University of Technology, 90-924 Lodz, Poland

  • *arnabray93@gmail.com
  • arindammishra@gmail.com
  • chittaranjanhens@gmail.com

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Issue

Vol. 101, Iss. 3 — March 2020

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