Explosive synchronization transitions in scale-free networks.

By Jesús Gómez-Gardeñes, Sergio Gómez, Alex Arenas, Yamir Moreno. Physical Review Letters, 2011

494 citations recorded by the source corpus.

Explosive collective phenomena have attracted much attention since the discovery of an explosive percolation transition. In this Letter, we demonstrate how an explosive transition shows up in the synchronization of scale-free networks by incorporating a microscopic correlation between the structural and the dynamical properties of the system. The characteristics of the explosive transition are analytically studied in a star graph reproducing the results obtained in synthetic networks. Our findings represent the first abrupt synchronization transition in complex networks and provide a deeper understanding of the microscopic roots of explosive critical phenomena.

Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/31e716a30d47f9da86280597cc91741cd9fd2b59

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In Statistical and Nonlinear Physics

Citations in the corpus

Anomalous critical and supercritical phenomena in explosive percolation (2015, background): “Although percolation considers the evolution of the network structure, EP has also motivated exploration of dynamical processes taking place on a fixed network structure, such as the “explosive Ising” model [57] and “explosive synchronization” [58].”
Explosive transitions in complex networks’ structure and dynamics: Percolation and synchronization (2016, background): “Reference [15] offers also an analytical study of a specific star configuration, composed of a central node (the hub h) and K peripheral nodes (the leaf nodes), each one labeled by the index i (i = 1, .”
Recent advances in percolation theory and its applications (2015, background): “This has recently become a subject of enormous interest [173], including openings toward other subjects such as jamming in the Internet [174], synchronization phenomena [175, 176] and analysis of real-world networks [177].”
The Kuramoto model in complex networks (2015, background): “206, but not by the result presented in [30].”
Higher order interactions in complex networks of phase oscillators promote abrupt synchronization switching (2019, background): “The interplay between structure and dynamics in such systems gives rise to novel nonlinear phenomena like switch-like abrupt transitions to synchronization [6, 7, 8] and cluster states [9, 10].”
Statistical physics of vaccination (2016, background): “Interestingly, there is a threshold in the neighborhood size, which guaranteed “first-order” phase transition of vaccination behavior, like the explosive phenomena of collective dynamics in statistical physics [562, 563].”