title: Time delay in the Kuramoto model with bimodal frequency distribution.
abstract: We investigate the effects of a time-delayed all-to-all coupling scheme in a large population of oscillators with natural frequencies following a bimodal distribution. The regions of parameter space corresponding to synchronized and incoherent solutions are obtained both numerically and analytically for particular frequency distributions. In particular, we find that bimodality introduces a new time scale that results in a quasiperiodic disposition of the regions of incoherence.
authors.affiliation: Computational Neuroscience, Technology Department, Universitat Pompeu Fabra, 08003 Barcelona, Spain.
authors.forename: Ernest
authors.initials: E
authors.lastname: Montbrió
authors.forename: Diego
authors.initials: D
authors.lastname: Pazó
authors.forename: Jürgen
authors.initials: J
authors.lastname: Schmidt