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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Asymmetry in initial cluster size favors symmetry in a network of oscillators

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Author(s):
Majhi, Soumen [1] ; Muruganandam, P. [2] ; Ferreira, F. F. [3] ; Ghosh, Dibakar [1] ; Dana, Syamal K. [4]
Total Authors: 5
Affiliation:
[1] Indian Stat Inst, Phys & Appl Math Unit, Kolkata 700108 - India
[2] Bharathidasan Univ, Dept Phys, Tiruchchirappalli 620024 - India
[3] Univ Sao Paulo, Ctr Interdisciplinary Res Complex Syst, BR-03828000 Sao Paulo, SP - Brazil
[4] Jadavpur Univ, Dept Math, Kolkata 700032 - India
Total Affiliations: 4
Document type: Journal article
Source: Chaos; v. 28, n. 8 AUG 2018.
Web of Science Citations: 4
Abstract

Counterintuitive to the common notion of symmetry breaking, asymmetry favors synchrony in a network of oscillators. Our observations on an ensemble of identical Stuart-Landau systems under a symmetry breaking coupling support our conjecture. As usual, for a complete deterministic and the symmetric choice of initial clusters, a variety of asymptotic states, namely, multicluster oscillation death (1-OD, 3-OD, and m-OD), chimera states, and traveling waves emerge. Alternatively, multiple chimera death (1-CD, 3-CD, and m-CD) and completely synchronous states emerge in the network whenever some randomness is added to the symmetric initial states. However, in both the cases, an increasing asymmetry in the initial cluster size restores symmetry in the network, leading to the most favorable complete synchronization state for a broad range of coupling parameters. We are able to reduce the network model using the mean-field approximation that reproduces the dynamical features of the original network. Published by AIP Publishing. (AU)

FAPESP's process: 11/11973-4 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
Grantee:Nathan Jacob Berkovits
Support type: Research Projects - Thematic Grants