title: Frequency dispersion in the time-delayed Kuramoto model.
abstract: We study the synchronization and frequency distribution in networks of time-delayed Kuramoto oscillators with identical natural frequency. It is found that a pronounced frequency dispersion occurs in networks with nonidentical degree distributions. The deviation of the average network frequency from its natural frequency, induced by the time delay, is identified as a necessary component for this phenomenon. Altogether this results in states intermediate between perfect synchronization and complete incoherence.
authors.affiliation: Departamento de Física, Universidad Rey Juan Carlos, Tulipán s/n, 28933 Móstoles, Madrid, Spain.
authors.forename: Anders
authors.initials: A
authors.lastname: Nordenfelt
authors.affiliation: Departamento de Física, Universidad Rey Juan Carlos, Tulipán s/n, 28933 Móstoles, Madrid, Spain.
authors.forename: Alexandre
authors.initials: A
authors.lastname: Wagemakers
authors.affiliation: Departamento de Física, Universidad Rey Juan Carlos, Tulipán s/n, 28933 Móstoles, Madrid, Spain.
authors.forename: Miguel A F
authors.initials: MA
authors.lastname: Sanjuán