Dynamical processes on multilayer and dynamic networks

Abstract

The study of complex systems by moving agents and multilayer networks is very recent and there are several issues to be addressed, as we propose in this project. Particularly, we aim at developing a new model of synchronization of traveling agents, considering different types of interaction and rough landscapes for particles moving. We will be able to determine conditions for phase transition and the influence of parameters related to the dynamics of agents on the emergence of the collective behavior. Epidemic and rumor spreading will also be analyzed on the context of traveling particles to determine how different properties, such as velocity and roughness of the landscape, influence the propagation. Regarding multilayer networks, we will analyses how the propagation of awareness in a layer affects the disease transmission in the other layer. With this study, we will be able to develop methods for epidemic control based on dissemination of rumors about the pathogen. Finally, we will consider methods of network science to model time series extract from simulation of turbulent flow. All these studies will enable a better understand of the dynamics of complex systems and will enable to start the collaboration between the Centre for Complexity Science at the University of Warwick and the Complex Systems Group at the University of São Paulo. (AU)