Chimera states in a ring of non-locally connected interneurons

Chimera states, in which synchronous and asynchronous dynamics are simultaneously observed in a network of identical elements with symmetric connections, are one of the most interesting phenomena in synchronization theory. In our work, we examined the main synchronous states in the ring of Morris-Lecar neurons of the second class of excitability with non-local symmetrical inhibitory connections. Such neurons mimic the activity of interneurons, which are the main type of inhibitory neurons in cortical structures and the hippocampus. The main focus of the study was on chimera states that were detected by the Adaptive Coherence Measure. We assume that these states may possibly be the origin of the interneuronal gamma rhythm in the brain. Also, we developed the ACM approach and showed that for states containing inactive neurons, it is better to use the ACM parameter calculated only for neurons generating spikes.