Interdependence of dynamical signals and topology: Detecting the influential nodes in networks

摘要

By studying varies dynamical processes, including coupled maps, cellularautomata and coupled differential equations, on five different kinds of knownnetworks, we found a positive relation between signal correlation and node'sdegree. Thus a method of identifying influential nodes in dynamical systems isproposed, its validity is studied, and potential applications on real systemsare discussed.