title: Evolutionary design of non-frustrated networks of phase-repulsive oscillators.
abstract: Evolutionary optimisation algorithm is employed to design networks of phase-repulsive oscillators that achieve an anti-phase synchronised state. By introducing the link frustration, the evolutionary process is implemented by rewiring the links with probability proportional to their frustration, until the final network displaying a unique non-frustrated dynamical state is reached. Resulting networks are bipartite and with zero clustering. In addition, the designed non-frustrated anti-phase synchronised networks display a clear topological scale. This contrasts usually studied cases of networks with phase-attractive dynamics, whose performance towards full synchronisation is typically enhanced by the presence of a topological hierarchy.
authors.affiliation: Faculty of information studies in Novo mesto, Novo mesto, Slovenia. zoran.levnajic@fis.unm.si
authors.forename: Zoran
authors.initials: Z
authors.lastname: Levnajić