SYNCHRONIZABILITY OF POWER-LAW AND FRACTALLY COUPLED DYNAMICAL NETWORKS

摘要

Systems of coupled dynamical networks are studied from the point of view of synchronizability. Power-law and fractally coupled networks are introduced through a parameter which describes the spatial decay of interaction. The spectral properties are compared, and a critical value of the relevant parameter is identified, below which increasing the system size increases synchronizability. It is found by numerical computations that for fractally coupled networks this critical value is strictly higher than for power-law coupled systems.