Controlling synchronization of a group of network nodes

Conference: CNNA 2018 - The 16th International Workshop on Cellular Nanoscale Networks and their Applications
08/28/2018 - 08/30/2018 at Budapest, Hungary

Proceedings: CNNA 2018

Pages: 2Language: englishTyp: PDF

Personal VDE Members are entitled to a 10% discount on this title

Gambuzza, Lucia Valentina; Frasca, Mattia (Dipartimento di Ingegneria Elettrica Elettronica e Informatica, Universita degli Studi di Catania, 95125 Catania, Italy)
Latora, Vito (School of Mathematical Sciences, Queen Mary University, of London, London E1 4NS, UK & Dipartimento di Fisica ed Astronomia, University of Catania and INFN, Italy)

Nonlinear dynamical systems coupled into a network configuration may exhibit different collective behaviors. Although the most studied one is complete synchronization, where all interacting units display a common state, in the last decade more attention has been devoted to study states in which only a subset of network nodes reach consensus disregarding the state of all the other nodes, namely cluster synchronization. Here, leveraging the latest results linking symmetries of the network to the onset of cluster states, we study the problem of controlling synchronization of an arbitrary group of nodes and propose a novel strategy aiming to guarantee the stability of the desired synchronous manifold.