Emergent dynamics in complex networks: Synchronization, polarization and epidemics

Abstract

From the collective behavior of many coupled units results the spontaneous emergence of certain dynamic properties that tend to increase the order in the system, such as coherent oscillations, structured pattern formations and biological waves. In this thesis, we revolve around the idea that the communication among the elements of a system transforms them into parts of something greater. Using numerical models, theoretical analysis and experimental setups, here we study the interplay between complexity at the interaction