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. 2014 Aug 8;4:5990. doi: 10.1038/srep05990

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(a) Sketch of the two-block model. (b) Global order parameter for the two-block model with M = 128 and two interfacial nodes. Results of the numerical integration of the 258 Kuramoto equations (blue points) are in strikingly good agreement with the integration of Eqs.(2) (solid blue line). Local block-wise order parameters are shown for comparison (small symbols; dashed lines are guides to the eye). A first transition, where local order emerges, occurs at k ≈ 0.02, while global coherence is reached at k ≈ 90. In the intermediate region, R(t) oscillates (inset), revealing the lack of global coherence. Despite the simplicity of this toy model, these results constitute the essential building-block upon which further levels of complexity rely (see main text).