@article{MontbrioPazoSchmidt2006, author = {Montbrio, Ernest and Pazo, Diego and Schmidt, J{\"u}rgen}, title = {Time delay in the Kuramoto model with bimodal frequency distribution}, series = {Physical review : E, Statistical, nonlinear and soft matter physics}, volume = {74}, journal = {Physical review : E, Statistical, nonlinear and soft matter physics}, publisher = {APS}, address = {College Park}, issn = {1539-3755}, doi = {10.1103/PhysRevE.74.056201}, pages = {5}, year = {2006}, 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.}, language = {en} } @article{MontbrioKurthsBlasius2004, author = {Montbrio, Ernest and Kurths, J{\"u}rgen and Blasius, Bernd}, title = {Synchronization of two interacting populations of oscillators}, year = {2004}, abstract = {We analyze synchronization between two interacting populations of different phase oscillators. For the important case of asymmetric coupling functions, we find a much richer dynamical behavior compared to that of symmetrically coupled populations of identical oscillators. It includes three types of bistabilities, higher order entrainment and the existence of states with unusual stability properties. All possible routes to synchronization of the populations are presented and some stability boundaries are obtained analytically. The impact of these findings for neuroscience is discussed.}, language = {en} } @article{BragardMontbrioMendozaetal.2005, author = {Bragard, Jean and Montbrio, Ernest and Mendoza, C. and Boccaletti, Stefano and Blasius, Bernd}, title = {Defect-enhanced anomaly in frequency synchronization of asymmetrically coupled spatially extended systems}, year = {2005}, abstract = {We analytically establish and numerically show that anomalous frequency synchronization occurs in a pair of asymmetrically coupled chaotic space extended oscillators. The transition to anomalous behaviors is crucially dependent on asymmetries in the coupling configuration, while the presence of phase defects has the effect of enhancing the anomaly in frequency synchronization with respect to the case of merely time chaotic oscillators.}, language = {en} }