Coherence-resonance spatiotemporal regimes in neural map networks under Levy noise

We explore numerically the spatiotemporal dynamics of networks of nonlocally coupled Rulkov maps (discrete-time neuron models) under Levy noise. We show how the network dynamics depends on the control parameters of individual elements, the coupling parameters, and noise generators. We reveal for the first time and analyze the possibility of observing coherence-resonance solitary states, coherence-resonance solitary state chimeras, and coherence-resonance phase chimeras. We show that changes in the coupling radius can influence the number of incoherence clusters of solitary state chimeras. Conversely, when the coupling strength is varied, there are transitions between coherence-resonance solitary state chimeras and solitary states. Furthermore, we demonstrate that coherence-resonance solitary state chimeras can exist within a specific range of the scale parameter of Levy noise, which decreases as the stability index of the noise source is reduced.