Synchronizing distant nodes: a universal classification of networks.
Phys Rev Lett
; 105(25): 254101, 2010 Dec 17.
Article
em En
| MEDLINE
| ID: mdl-21231592
ABSTRACT
Stability of synchronization in delay-coupled networks of identical units generally depends in a complicated way on the coupling topology. We show that for large coupling delays synchronizability relates in a simple way to the spectral properties of the network topology. The master stability function used to determine the stability of synchronous solutions has a universal structure in the limit of large delay It is rotationally symmetric around the origin and increases monotonically with the radius in the complex plane. This allows a universal classification of networks with respect to their synchronization properties and solves the problem of complete synchronization in networks with strongly delayed coupling.
Buscar no Google
Base de dados:
MEDLINE
Idioma:
En
Ano de publicação:
2010
Tipo de documento:
Article