%0 Journal Article %1 Leyva2012Explosive %A Leyva, I. %A Escoboza, R. Sevilla %A Buldú, J. M. %A na Nadal, Sendi %A nes, Gómez Garde %A Arenas, A. %A Moreno, Y. %A Gómez, S. %A Reátegui, R. Jaimes %A Boccaletti, S. %D 2012 %I American Physical Society %J Physical Review Letters %K synchronization critical-phenomena networks explosive-percolation %P 168702+ %R 10.1103/physrevlett.108.168702 %T Explosive First-Order Transition to Synchrony in Networked Chaotic Oscillators %U http://dx.doi.org/10.1103/physrevlett.108.168702 %V 108 %X Critical phenomena in complex networks, and the emergence of dynamical abrupt transitions in the macroscopic state of the system are currently a subject of the outmost interest. We report evidence of an explosive phase synchronization in networks of chaotic units. Namely, by means of both extensive simulations of networks made up of chaotic units, and validation with an experiment of electronic circuits in a star configuration, we demonstrate the existence of a first-order transition towards synchronization of the phases of the networked units. Our findings constitute the first prove of this kind of synchronization in practice, thus opening the path to its use in real-world applications.

@article{Leyva2012Explosive, abstract = {{Critical phenomena in complex networks, and the emergence of dynamical abrupt transitions in the macroscopic state of the system are currently a subject of the outmost interest. We report evidence of an explosive phase synchronization in networks of chaotic units. Namely, by means of both extensive simulations of networks made up of chaotic units, and validation with an experiment of electronic circuits in a star configuration, we demonstrate the existence of a first-order transition towards synchronization of the phases of the networked units. Our findings constitute the first prove of this kind of synchronization in practice, thus opening the path to its use in real-world applications.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Leyva, I. and Escoboza, R. Sevilla and Buld\'{u}, J. M. and na Nadal, Sendi and nes, G\'{o}mez Garde and Arenas, A. and Moreno, Y. and G\'{o}mez, S. and Re\'{a}tegui, R. Jaimes and Boccaletti, S.}, biburl = {https://www.bibsonomy.org/bibtex/2e9f0b8b91f72ca9f2f1129177af3d2c7/nonancourt}, citeulike-article-id = {10595091}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrevlett.108.168702}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v108/i16/e168702}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v108/i16/e168702}, doi = {10.1103/physrevlett.108.168702}, interhash = {12cd50f6e11401472970b9119b462422}, intrahash = {e9f0b8b91f72ca9f2f1129177af3d2c7}, journal = {Physical Review Letters}, keywords = {synchronization critical-phenomena networks explosive-percolation}, month = apr, pages = {168702+}, posted-at = {2012-04-21 09:22:32}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-08-01T16:09:32.000+0200}, title = {{Explosive First-Order Transition to Synchrony in Networked Chaotic Oscillators}}, url = {http://dx.doi.org/10.1103/physrevlett.108.168702}, volume = 108, year = 2012 }