5 pages.-- PACS numbers: 05.45.Xt, 89.75.Fb, 02.30.Ks.-- ArXiv pre-print: http://arxiv.org/abs/nlin.AO/0606045.-- Final full-text version of the paper available at: http://dx.doi.org/10.1103/PhysRevE.74.056201.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.E. M. was partially supported by the European research project EmCAP (FP6-IST, Contract No. 013123). J. S. was supported by Deutsche Forschungsgemeinschaft project SCH-1642/1-1
