SynchronizationSynchronization is a widely observed collective behavior in nature often resulting from interactions among organisms to accomplish specific tasks. The problem of synchronizationSynchronization represented by different autonomous oscillators using strategies of dynamic and diffusive couplingDynamic and diffusive coupling is addressed. In this work we use discrete periodic oscillators as nodes within different topological configurationsTopological configurations of complex networksComplex networks, particularly nearest neighbor, small-world, and star topologies. The main goal of this work is achieve synchronizationSynchronization between the discrete periodic oscillators within the presented complex networksComplex networks. We use strategies of dynamic and diffusive couplingDynamic and diffusive coupling with the purpose of determine which coupling and topological configurationTopological configurations are most efficient for this particular case. We conduct numerical analyses comparing coupling strength and scheme parameters. The results of this works are obtained through programming in MATLAB software.