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Self-organized coherence-incoherence patterns, called chimera states, havefirst been reported in systems of Kuramoto oscillators. For coupled excitableunits similar patterns, where coherent units are at rest, are called bumpstates. Here, we study bumps in an array of active rotators coupled bynon-local attraction and global repulsion. We demonstrate how they can emergein a supercritical scenario from completely coherent Turing patterns: singleincoherent units appear in a homoclinic bifurcation with a subsequenttransition via quasiperiodic and chaotic behavior, eventually transforming intoextensive chaos with many incoherent units. We present different types oftransitions and explain the formation of coherence-incoherence patternsaccording to the classical paradigm of short-range activation and long-rangeinhibition.

Bumps, chimera states, and Turing patterns in systems of coupled active rotators