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Extended non-stationary chimera-like region in a network of non-identical coupled Van der Pol’s oscillators

Authors
  • Lu, Haikong1
  • Parastesh, Fatemeh2
  • Dabrowski, Artur3
  • Azarnoush, Hamed2
  • Jafari, Sajad2, 4
  • 1 School of Electronic Engineering, Changzhou College of Information Technology, Changzhou, Jiangsu, P.R. China , Changzhou (China)
  • 2 Amirkabir University of Technology, No. 350, Hafez Ave, Valiasr Square, Tehran, 159163-4311, Iran , Tehran (Iran)
  • 3 Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, Lodz, 90-924, Poland , Lodz (Poland)
  • 4 Health Technology Research Institute, Amirkabir University of Technology, No. 350, Hafez Ave, Valiasr Square, Tehran, 159163-4311, Iran , Tehran (Iran)
Type
Published Article
Journal
The European Physical Journal Special Topics
Publisher
Springer Berlin Heidelberg
Publication Date
Sep 28, 2020
Volume
229
Issue
12-13
Pages
2239–2247
Identifiers
DOI: 10.1140/epjst/e2020-000002-0
Source
Springer Nature
License
Yellow

Abstract

Chimera states are peculiar spatiotemporal patterns of coupled oscillators composed of coherent and incoherent groups. In this paper, we study a network of non-identical coupled Van der Pol’s oscillators and investigate the robustness of the chimera states against the oscillators frequency mismatches. The dynamical behaviors of the network are obtained for various coupling strengths and ranges, in different inhomogeneity levels, and the phase diagrams are presented. It is observed that the parameter inhomogeneity leads to the occurrence of synchronization in higher coupling strengths and expansion of the chimera region. In contrast to the identical network, in the non-identical network, a great deal of the chimera region belongs to the non-stationary chimera.

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