A simulation study of a mobile oscillator network with fixed nodes

Abstract

A mobile oscillator network, which is a kind of temporal networks, is of interest due to a variety of its applications such as mobile communication. In this study, we investigate the time required for synchronization of all the nodes in a mobile oscillator network, especially regarding effects of fixed nodes on the synchronization time. According to our simulation, there exists an optimal ratio of the number of fixed nodes to that of mobile ones in order to reduce the synchronization time. Furthermore, we analytically estimate the synchronization time with respect to the number of fixed nodes.