Synchronization of Coupled Kicked Limit Cycle Systems

A class of kicked nonlinear limit cycle oscillators is described by a prototype circle map. We consider a spatially extended system in which these maps are coupled in a unidimensional lattice, according to a coupling scheme that includes the global (mean-field) and local (nearest-neighbor) prescriptions as limiting cases. We analyze frequency synchronization in the system, investigating its behavior under variations of the coupling parameters.