Coherence-Resonance Chimeras in Ring Networks

Abstract

In the present chapter, we consider noise-induced chimera patterns called coherence-resonance chimeras. These peculiar states combine features of coherence resonance and chimera states and are characterized by the coexistence of two different domains separated in space: one part of the network is spiking coherently in space, while the other exhibits incoherent spiking, i.e., the spiking of neighboring nodes is uncorrelated. We explain the formation mechanism of noise-induced chimeras and discuss time-delayed feedback control of these patterns. Specifically, we focus on the role of noise and time delay for the chimera states occurring in ring networks of FitzHugh-Nagumo neurons in the excitable regime.