Synchronization conditions of N Coupled Maps using Periodicities

Using the synchrony factor and its periodicity, we are able to identify not only complete synchronization but also in-phase synchronization. The analysis of the periodicities of the synchrony factor allows to obtain a phase diagram that contains all the information of synchronous behaviour in a wide range of parameters. This method constitutes a new and useful tool to characterize synchronization. We are working in extend our results to many maps.