Stochastic-resonance chimeras in coupled FHN neurons with α-stable Lévy noise

In this paper, we investigate the collective dynamical behaviors of a ring-network of identical FHN neurons upon the addition of α-stable Lévy noise and periodic force. We report a novel type of chimera pattern called stochastic-resonance chimera that combines the stochastic resonance and chimeras. We find that unlike coherence-resonance chimera, the stochastic-resonance chimera strongly depends on the amplitudes of periodic forcing and noise. Besides, the influences of the noise amplitude and stability parameter of α-stable Lévy noise and periodic forcing amplitude on dynamical behaviors are analyzed in detail. Stochastic-resonance chimeras are expected to have wide applications in neural networks and offer a new direction for chimera control.