Explosive synchronization in clustered scale-free networks: Revealing the existence of chimera state
1 Institute of Nuclear Sciences Vinca, PO Box 522, 11001 Belgrade, Serbia
2 University of Belgrade, St. Trg 16, 11000 Belgrade, Serbia
Received: 21 June 2015
Revised: 11 January 2016
Published online: 29 February 2016
The collective dynamics of Kuramoto oscillators with a positive correlation between the incoherent and fully coherent domains in clustered scale-free networks is studied. Emergence of chimera states for the onsets of explosive synchronization transition is observed during an intermediate coupling regime when degree-frequency correlation is established for the hubs with the highest degrees. Diagnostic of the abrupt synchronization is revealed by the intrinsic spectral properties of the network graph Laplacian encoded in the heterogeneous phase space manifold, through extensive analytical investigation, presenting realistic MC simulations of nonlocal interactions in discrete time dynamics evolving on the network.
© EDP Sciences, Springer-Verlag, 2016