AUTHOR=Sun Jiashuo , Xiang Linying , Chen Guanrong TITLE=A new effective metric for dynamical robustness of directed networks JOURNAL=Frontiers in Physics VOLUME=11 YEAR=2023 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2023.1129844 DOI=10.3389/fphy.2023.1129844 ISSN=2296-424X ABSTRACT=

In this article, dynamical robustness of a directed complex network with additive noise is inverstigated. The failure of a node in the network is modeled by injecting noise into the node. Under the framework of mean-square stochastic stability, a new robustness metric is formulated to characterize the robustness of the network in terms of synchronization to the additive noise. It is found that the node dynamics plays a pivotal role in dynamical robustness of the directed network. Numerical simulations are shown for illustration and verification.