Chimera states in a multi-weighted neuronal network


There are multiple types of interactions among neurons, each of which has a remarkable effect on the neurons’ behavior.

Due to the significance of chimeras in neural processes, in this paper, we study the impact of different electrical, chemical, and ephaptic couplings on the emergence of chimera. Consequently, a multi-weighted small-world network of neurons is considered. The simultaneous effects of two and three couplings are explored on the chimera and complete synchronization.

The results represent that the synchronization is achieved in very small coupling strengths in the absence of chemical synapses. In contrast, without electrical synapses, the neurons only exhibit chimera behavior. In the three-weighted network, the synchronization is enhanced for special chemical coupling strengths. The network with directed links is also examined. The general behaviors of the directed and undirected networks are the same; however, the directed links lead to lower synchronization error.

I. Hussain, S. Jafari, M. Perc, D. Ghosh, Chimera states in a multi-weighted neuronal network, Physics Letters A 424 (2022) 127847