title: Connectivity-driven coherence in complex networks.
abstract: We study the emergence of coherence in complex networks of mutually coupled nonidentical elements. We uncover the precise dependence of the dynamical coherence on the network connectivity, the isolated dynamics of the elements, and the coupling function. These findings predict that in random graphs the enhancement of coherence is proportional to the mean degree. In locally connected networks, coherence is no longer controlled by the mean degree but rather by how the mean degree scales with the network size. In these networks, even when the coherence is absent, adding a fraction s of random connections leads to an enhancement of coherence proportional to s. Our results provide a way to control the emergent properties by the manipulation of the dynamics of the elements and the network connectivity.
authors.affiliation: Department of Mathematics, Complexity and Networks Group, Imperial College London, London SW7 2AZ, United Kingdom.
authors.forename: Tiago
authors.initials: T
authors.lastname: Pereira
authors.affiliation: Department of Physics, Faculty of Science, Ege University, 35100 Izmir, Turkey.
authors.forename: Deniz
authors.initials: D
authors.lastname: Eroglu
authors.affiliation: Department of Physics, Faculty of Science, Ege University, 35100 Izmir, Turkey.
authors.forename: G Baris
authors.initials: GB
authors.lastname: Bagci
authors.affiliation: Department of Physics, Faculty of Science, Ege University, 35100 Izmir, Turkey.
authors.forename: Ugur
authors.initials: U
authors.lastname: Tirnakli
authors.affiliation: Department of Mathematics, Complexity and Networks Group, Imperial College London, London SW7 2AZ, United Kingdom.
authors.forename: Henrik Jeldtoft
authors.initials: HJ
authors.lastname: Jensen