Chimeras in complex networks: A gear by nonlinear mean-field

Abstract

We investigate a network of oscillators with a nonlinear memristive mean-field along with non-local interaction. We found the culmination of interesting chimeric patterns. With the change in the range of interaction the symmetric breaking bifurcation lead to chimeras. We derive analytically the critical condition for the appearance of chimera in the mean-field limit. The chimeras are characterized by the average of the local curvature of the node. We also explored the emergence of chimeric patterns in a network by replacing the non-local topology with random links. We found that the clustering of the nearby state to the solitary state causes the chimeras in random configuration with a memristive mean-field. The findings are illustrated through numerical simulations.