title: Controlling synchrony by delay coupling in networks: from in-phase to splay and cluster states.
abstract: We study synchronization in delay-coupled oscillator networks using a master stability function approach. Within a generic model of Stuart-Landau oscillators (normal form of supercritical or subcritical Hopf bifurcation), we derive analytical stability conditions and demonstrate that by tuning the coupling phase one can easily control the stability of synchronous periodic states. We propose the coupling phase as a crucial control parameter to switch between in-phase synchronization or desynchronization for general network topologies or between in-phase, cluster, or splay states in unidirectional rings. Our results are robust even for slightly nonidentical elements of the network.
authors.affiliation: Institut für Theoretische Physik, Technische Universität Berlin, 10623 Berlin, Germany.
authors.forename: Chol-Ung
authors.initials: CU
authors.lastname: Choe
authors.forename: Thomas
authors.initials: T
authors.lastname: Dahms
authors.forename: Philipp
authors.initials: P
authors.lastname: Hövel
authors.forename: Eckehard
authors.initials: E
authors.lastname: Schöll