Eur. Phys. J. Special Topics 229, 2239–2247 (2020)
https://doi.org/10.1140/epjst/e2020-000002-0

Regular Article

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

¹ School of Electronic Engineering, Changzhou College of Information Technology, Changzhou, Jiangsu, P.R. China
² Department of Biomedical Engineering, Amirkabir University of Technology, No. 350, Hafez Ave, Valiasr Square, Tehran 159163-4311, Iran
³ Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland
⁴ Health Technology Research Institute, Amirkabir University of Technology, No. 350, Hafez Ave, Valiasr Square, Tehran 159163-4311, Iran

^a e-mail: sajadjafari83@gmail.com

Received: 8 January 2020
Accepted: 8 June 2020
Published online: 28 September 2020

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.