Better synchronizability predicted by crossed double cycle

Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Mar;73(3 Pt 2):037101. doi: 10.1103/PhysRevE.73.037101. Epub 2006 Mar 6.

Abstract

In this Brief Report, we propose a network model named crossed double cycles, which are completely symmetrical and can be considered as the extensions of nearest-neighboring lattices. The synchronizability, measured by eigenratio R, can be sharply enhanced by adjusting the only parameter, the crossed length m. The eigenratio R is shown very sensitive to the average distance L, and the smaller average distance will lead to better synchronizability. Furthermore, we find that, in a wide interval, the eigenratio R approximately obeys a power-law form as R approximately L(1.5).