报告题目：The transition to synchronization of networked systems
报告时间：2026年1月20日上午9:00
报告地点：物理楼226报告厅
报告人：Stefano Boccaletti 教授
邀请人：周杰 副教授
报告人单位：The Institute of Complex Systems of the ltalian
报告人简介：
Stefano Boccaletti received the PhD in PhStefano Boccaletti is the Fellow of European Academy of Sciences. He is currently Director of Research at the Institute of Complex Systems of the Italian CNR, in Florence. His major scientific interests are i) pattern formation and competition in extended media, ii) control and synchronization of chaos, and iii) the structure and dynamics of complex networks. He is Editor in Chief of the Journal “Chaos, Solitons and Fractals” (Elsevier) from 2013, and member of the Academia Europaea since 2016. He was elected member of the Florence City Council from 1995 to 1999. Boccaletti has published 352 papers in peer-reviewed international Journals, which received more than 35,000 citations (Google Scholar). His h factor is 70 and his i-10 index is 227. With more than 12,300 citations, the monograph “Complex Networks: Structure and Dynamics”, published by Boccaletti in Physics Reports on 2006 converted into the most quoted paper ever appeared in the Annals of that Journal.
报告摘要：
From brain dynamics and neuronal firing, to power grids or financial markets, synchronization of networked units is the collective behavior characterizing the normal functioning of most natural and man made systems. As a control parameter (typically the coupling strength in each link of the network) increases, a transition occurs between a fully disordered and gaseous-like phase (where the units evolve in a totally incoherent manner) to an ordered or solid-like phase (in which, instead, all units follow the same trajectory in time). The transition between such two phases can be discontinuous and irreversible, or smooth, continuous, and reversible. The first case is known as Explosive Synchronization, and refers to an abrupt onset of synchronization following an infinitesimally small change in the control parameter. The second case is the most commonly observed one, and corresponds to a second-order phase transition, resulting in intermediate states emerging in between the two phases. Namely, the path to synchrony is here characterized by a sequence of events structured states emerge made of different functional modules (or clusters), each one evolving in unison. In my talk, I will assume that, during the transition, the synchronous solution of each cluster does not differ substantially from that of the entire network and, under such an approximation, I will introduce a (simple, effective, and limited in computational demand) method which is able to: i) predict the entire sequence of events that are taking place during the transition, ii) identify exactly which graph's node is belonging to each of the emergent clusters, and iii) provide a well approximated calculation of the critical coupling strength value at which each of such clusters is observed to synchronize. I will also demonstrate that, under the assumed approximation, the sequence of events is in fact universal, in that it is independent of the specific dynamical system operating in each network's node and depends, instead, only on the graph's structure.