Synchronization in a power-driven moving agent network

Motivated by the fact that couplings between individual units of many real-world complex systems are relevant to energy, we propose a power-driven moving agent network model as a simple representation. The presented network exhibits a directed and time-varying topological structure, where each agent associated with a chaotic oscillator is depicted as a random walker in a planar space, and interactions among agents are established via communication by assigning different emission powers to them. To investigate the effect of power distribution, synchronization is further explored for the power-driven moving agent network. Under the constraint of fast-switching, we theoretically show that synchronization of the agent network is determined by the power density which is independent of both the power distribution and the size of network. Several numerical simulations are given to validate the acquired results.