2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/17675Recently, it has been demonstrated that many large complex networks display a scale-free feature, that is, their connectivity distributions have the power-law form. In this paper, we investigate the synchronization phenomena in a scale-free dynamical network. We show that its synchronizability is robust against random removal of nodes, but is fragile to specific removal of the most highly connected nodes.19 pages, 4 figuresCondensed MatterSynchronization in Scale-free Dynamical Networks: Robustness and Fragilitytext