Dynamical rewiring widely exists in complex systems, however the impact of dynamical rewiring in the synchronization of neural systems is currently unknown. In this paper, we use memristive FitzHugh-Nagumo neurons to construct random, small-world and scale-free networks in which the connections between neurons can be rewired, and investigate the influence of rewiring on the synchronization of neural networks in with/without Gaussian white noise, and comparing it to the corresponding static networks. We found that dynamical rewiring enhances the synchronization of the network, and the degree of...