Synchronized clusters in coupled map networks. I. Numerical studies.

摘要: We study the synchronization of coupled maps on a variety networks including regular one- and two-dimensional networks, scale-free small world tree random networks. For coupling strengths nodes show turbulent behavior but form phase synchronized clusters as increases. When behavior, we observe two interesting phenomena. First, there are some floating type that intermittent between getting attached to evolving independently. Second, identify different ways cluster formation, namely self-organized which have mostly intracluster couplings driven intercluster couplings. The may be dominant type, or mixed depending network parameters dynamics. define states dynamics by considering number clusters. local governed logistic map diagram in plane constant $(ϵ)$ parameter $(\ensuremath{\mu})$. large nonlinear find Caley lead better formation than other types with same average connectivity. most our use connections order nodes. As increases forming size general increase.