Neuromorphic computation (inspired by neuroscience) aims to develop electronic devices that emulate neuronal activity in order to develop new paradigms of computation beyond digital machines. In this project, we develop a new model for circuits with memristic devices (inspired by neuronal models) showing oscillatory dynamics and we apply the classical theory for weakly coupled oscillators to study the dynamics for coupled memristic devices. First, we review the general theory and show its application to coupled neuronal oscillators, Finally, we consider different combinations of couplings for memristic devices to predict different synchronization outcomes and its relevance for practical applications.