Abstract Politi: Collective dynamics in the presence of long-range interactions

The emergence of chaotic (collective) states in ensemble of oscillators is reviewed, comparing the different setups that are typically analysed for the study of synchronization phenomena and with reference to neural networks. A specific emphasis will be given to long-range interactions and to the emergence of a sort of "hydrodynamic" states in systems with no conservation laws (both in coupled logistic maps and Stuart-Landau oscillators).