Chimera states in neuronal systems of excitability type-i

Abstract

Chimera states is a fascinating phenomenon of coexisting synchronized and desynchronized behavior discovered in networks of nonlocally coupled identical phase oscillators. In this work, we consider a generic model for a saddle-node bifurcation on a limit cycle representative for neuron excitability type-I. It is given by N nonlocally coupled SNIPER oscillators in the oscillatory regime arranged on a ring. Depending on the system parameters we obtain chimera states with multiple coherent regions (clustered chimeras), coexisting traveling waves, and we observe a flip in the mean phase velocities of the coherent and incoherent regions.