The key player problem in complex oscillator networks and electric power grids: Resistance centralities identify local vulnerabilities.

ABSTRACT: Identifying key players in coupled individual systems is a fundamental problem in network theory. We investigate synchronizable network-coupled dynamical systems such as high-voltage electric power grids and coupled oscillators on complex networks. We define key players as nodes that, once perturbed, generate the largest excursion away from synchrony. A spectral decomposition of the coupling matrix gives an elegant solution to this identification problem. We show that, when the coupling matrix is Laplacian, key players are peripheral in the sense of a centrality measure defined from effective resistance distances. For linearly coupled systems, the ranking is efficiently obtained through a single Laplacian matrix inversion, regardless of the operational synchronous state. The resulting rank

SUBMITTER: Tyloo M 

PROVIDER: S-EPMC6874484 | biostudies-literature | 2019 Nov

REPOSITORIES: biostudies-literature