… other classes of dynamical processes on complex networks that show explosive transitions,
including some recent works on multilayer and interdependent networks. Finally, in Section …

… of cases, these transitions are of the second-order type, ie continuous and reversible. Recently,
however, explosive phenomena have been reported in complex networks’ structure and …

… In order to study the onset and nature of the explosive transition, we must analytically
examine the behavior of the system in the thermodynamic limit. Let us consider the paradigmatic …

… in scale-free networks of phase oscillators and chaotic oscillators. In this paper, we report
a phenomenon of explosive synchronization transition on complex neural networks. We show …

… of explosive synchronization has been reported as an abrupt transition in complex networks
… Kuramoto model perform a cascade of transitions toward a synchronous macroscopic state, …

… In summary, we have shown that explosive synchronization in complex networks of oscillators
is connected with selfsimilarity of the synchronous clusters of different size. More precisely…

… been considered more in general in adaptive complex networks, and it has been found that
… In this work, we introduce and study an adaptive complex network model in which the nodes …

… , is one of the most widely studied problems in network theory [1,2]. … transition on complex
network, which has among others applications pertaining to virus spreading [3] and network …

… was proved to be a first-order transition when the natural frequencies of the oscillators
are … This abrupt transition of a macroscopic state in a complex network is called explosive …

… We furthermore discuss a strategy to induce the explosive behavior in a generic network, by
… a criterion to induce explosive transitions by acting only on a fraction of the network’s nodes. …