%0 Journal Article %1 JesusGomezGardenes2011Explosive %A nes, Jesús Gómez Garde %A Gómez, Sergio %A Arenas, Alex %A Moreno, Yamir %D 2011 %I American Physical Society %J Physical Review Letters %K synchronization explosive-percolation scale-free-networks %N 12 %P 128701+ %R 10.1103/physrevlett.106.128701 %T Explosive Synchronization Transitions in Scale-Free Networks %U http://dx.doi.org/10.1103/physrevlett.106.128701 %V 106 %X 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.

@article{JesusGomezGardenes2011Explosive, abstract = {{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.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {nes, Jes\'{u}s G\'{o}mez Garde and G\'{o}mez, Sergio and Arenas, Alex and Moreno, Yamir}, biburl = {https://www.bibsonomy.org/bibtex/2417c64788719aa69fe64dac7f2ef5c07/nonancourt}, citeulike-article-id = {9060822}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrevlett.106.128701}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v106/i12/e128701}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v106/i12/e128701}, doi = {10.1103/physrevlett.106.128701}, interhash = {464edae7c1697eb95c31354298cf2165}, intrahash = {417c64788719aa69fe64dac7f2ef5c07}, journal = {Physical Review Letters}, keywords = {synchronization explosive-percolation scale-free-networks}, month = mar, number = 12, pages = {128701+}, posted-at = {2011-03-25 09:43:02}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-08-01T16:13:16.000+0200}, title = {{Explosive Synchronization Transitions in Scale-Free Networks}}, url = {http://dx.doi.org/10.1103/physrevlett.106.128701}, volume = 106, year = 2011 }