Synchronization phenomena in coupled logistic maps involving parametric force

Synchronization phenomena in coupled logistic maps whose parameters are forced into periodic varying are investigated through the use of Lyapunov exponents. When three maps are coupled, various synchronization phenomena are observed by choosing a coupling intensity. The synchronization phenomena fall into three general categories, which are asynchronous, synchronization of two among the three maps and synchronization of all the maps. In particular, in the synchronization of two of the three maps, solutions of maps behave periodic, quasi-periodic and chaotic for several coupling intensities.