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).