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Evolutionary optimisation algorithm is employed to design networks ofphase-repulsive oscillators that achieve an anti-phase synchronised state. Byintroducing the link frustration, the evolutionary process is implemented byrewiring the links with probability proportional to their frustration, untilthe final network displaying a unique non-frustrated dynamical state isreached. Resulting networks are bipartite and with zero clustering. Inaddition, the designed non-frustrated anti-phase synchronised networks displaya clear topological scale. This contrasts usually studied cases of networkswith phase-attractive dynamics, whose performance towards full synchronisationis typically enhanced by the presence of a topological hierarchy.

Evolutionary design of non-frustrated networks of phase-repulsive oscillators