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Chimera states, which consist of coexisting domains of spatially coherent andincoherent dynamics, have been widely found in nonlocally coupled oscillatorysystems. We demonstrate for the first time that chimera states can emerge fromexcitable systems under nonlocal coupling in which isolated units only allowfor the equilibrium. We theoretically reveal that nonlocal coupling inducedcollective oscillation is behind the occurrence of the chimera states. We findtwo different types of chimera states, phase-chimera state andexcitability-chimera states, depending on the coupling strength. At weakcoupling strength where collective oscillation is localized around the unstablehomogeneous equilibrium, the chimera states are similar to the ones innonlocally coupled phase oscillators. For the chimera states at strong couplingstrength, the dynamics of both coherent units and incoherent units shift backand forth between low amplitude oscillation induced by collective oscillationand high amplitude oscillation induced by excitability of local units.

From collective oscillation to chimera state in a nonlocally excitable system