TY  - JOUR
A1  - Montbrio, Ernest
A1  - Pazo, Diego
A1  - Schmidt, Jürgen
T1  - Time delay in the Kuramoto model with bimodal frequency distribution
JF  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - 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.
Y1  - 2006
U6  - https://doi.org/10.1103/PhysRevE.74.056201
SN  - 1539-3755
VL  - 74
PB  - APS
CY  - College Park
ER  - 
TY  - JOUR
A1  - Montbrio, Ernest
A1  - Kurths, Jürgen
A1  - Blasius, Bernd
T1  - Synchronization of two interacting populations of oscillators
N2  - 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.
Y1  - 2004
UR  - http://www.agnld.uni-potsdam.de/~bernd/papers/pre3.pdf
ER  - 
TY  - JOUR
A1  - Bragard, Jean
A1  - Montbrio, Ernest
A1  - Mendoza, C.
A1  - Boccaletti, Stefano
A1  - Blasius, Bernd
T1  - Defect-enhanced anomaly in frequency synchronization of asymmetrically coupled spatially extended systems
N2  - 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.
Y1  - 2005
UR  - http://www.agnld.uni-potsdam.de/~bernd/papers/pre4.pdf
ER  -