Boccaletti S, Hwang D-U, Chavez M, Amann A, Kurths J, Pecora L M
CNR-Istituto dei Sistemi Complessi, Largo E. Fermi 6, 50125 Florence, Italy.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Jul;74(1 Pt 2):016102. doi: 10.1103/PhysRevE.74.016102. Epub 2006 Jul 5.
Starting from an initial wiring of connections, we show that the synchronizability of a network can be significantly improved by evolving the graph along a time dependent connectivity matrix. We consider the case of connectivity matrices that commute at all times, and compare several approaches to engineer the corresponding commutative graphs. In particular, we show that synchronization in a dynamical network can be achieved even in the case in which each individual commutative graphs does not give rise to synchronized behavior.
