Network of mobile systems: mutual influence of oscillators and agents

Abstract

This work presents a network of mobile systems whose nodes are constituted by a moving agent with an internal state (an oscillator), which influences each other. The coupling topology of the agents and internal oscillators changes over time according to the interaction range (also called vision range or vision sizes (Majhi et al. Phys Rev E 99: 012308, 2019)) of their corresponding counterparts. The goal is to investigate the dynamics of the oscillators and the agents in the considered systems. Our results show that the synchronization between agents and that between oscillators depends on the coupling parameter of the oscillators, the velocity of the agents and the interaction range of both agents and oscillators. We have found that the vision range of the oscillators has a great influence on the dynamics of the agents. Among this dynamics, we can mention phase synchronization and clusters formation in the mobile system and complete synchronization as well as clusters formation on the oscillators. The stability of the synchronization in the oscillators is investigated using the Master Stability Function (MSF) developed by Pecora and Carroll (Phys Rev Lett 80: 2109, 1998).