Mobile oscillators network with amplification

In this work, we investigate the dynamics of a multilayer network of mobile agents with amplification where each agent is composed of two parts: internal dynamics defined by a Rössler chaotic oscillator and external dynamics defined by the random motion of this agent in 2D space. Each agent characterized by a communication range named ‘vision range’ which is the greatest distance within which two agents can exchange information and therefore establish a coupling. Thus, two cases were studied: the case where only the external dynamic influences the internal dynamic and the case where there is a mutual influence of the internal dynamic on the external dynamic and vice versa. The study of the effects of these parameters leads the internal dynamics of the network to the synchronization (resp. attenuation) and the spatial motion of the agent to the phase synchronization.