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. 2019 Oct 28;377(2160):20190042. doi: 10.1098/rsta.2019.0042

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© 2019 The Authors.

Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.

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Figure 2. — Illustration of case (4) in proposition 3.1(iii) for N = 6 oscillators: the coupling function g shown in (a) has two live zones centred at 2a and 3a, the remainder consists of two dead zones. The diagram in (b) shows the phases θ_k at one instant in time such that θ_j − θ_i = a(j − i) for all j > i. The effective coupling graph for the coupling function in (a) is indicated by black arrows between the phases corresponding to individual nodes. This coupling graph is tripartite as indicated by the node colouring. (Online version in colour.)