Resyncronization Dynamics Of Ensembles Of Phase Oscillators

Jorge Brea, Center for Neurodynamics, University of Missouri, St. Louis

We study the transient resynchronization dynamics of two coupled ensembles of phase oscillators, with multimodal distributions of eigenfrequencies. The different posible pathways to the stationary synchronized state depends strongly on the coupling between the oscillators and the distribution of eigenfrequencies. Given the high dimensionality of the system, it is impracticable to understand these different resynchronization pathways in terms of the vector fields of this system. We therefore propose that some esential properties of this complex system can still be captured by a reduced low dimensional model, where we can reconstruct the invariant sets either numerically or analitically. This recontruction allows us to interpret some of the results obtained from the original system, which in turn serves to validat the reduced model, and shed some light on how the original system will resynchronize.