000064427 001__ 64427 000064427 005__ 20200221144329.0 000064427 0247_ $$2doi$$a10.1126/sciadv.1601679 000064427 0248_ $$2sideral$$a103736 000064427 037__ $$aART-2016-103736 000064427 041__ $$aeng 000064427 100__ $$aDel Genio, Charo I. 000064427 245__ $$aSynchronization in networks with multiple interaction layers 000064427 260__ $$c2016 000064427 5060_ $$aAccess copy available to the general public$$fUnrestricted 000064427 5203_ $$aThe structure of many real-world systems is best captured by networks consisting of several interaction layers. Understanding how a multilayered structure of connections affects the synchronization properties of dynamical systems evolving on top of it is a highly relevant endeavor in mathematics and physics and has potential applications in several socially relevant topics, such as power grid engineering and neural dynamics. We propose a general framework to assess the stability of the synchronized state in networks with multiple interaction layers, deriving a necessary condition that generalizes the master stability function approach. We validate our method by applying it to a network of Rössler oscillators with a double layer of interactions and show that highly rich phenomenology emerges from this. This includes cases where the stability of synchronization can be induced even if both layers would have individually induced unstable synchrony, an effect genuinely arising from the true multilayer structure of the interactions among the units in the network. 000064427 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/FIS2012-38266-C02-01$$9info:eu-repo/grantAgreement/ES/MINECO/FIS2011-25167$$9info:eu-repo/grantAgreement/EC/FP7/317532/EU/Foundational Research on MULTIlevel comPLEX networks and systems/MULTIPLEX 000064427 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc$$uhttp://creativecommons.org/licenses/by-nc/3.0/es/ 000064427 592__ $$a4.8$$b2016 000064427 593__ $$aMedicine (miscellaneous)$$c2016$$dQ1 000064427 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000064427 700__ $$0(orcid)0000-0002-3484-6413$$aGómez Gardeñes, Jesús$$uUniversidad de Zaragoza 000064427 700__ $$aBonamassa, Ivan 000064427 700__ $$aBoccaletti, Stefano 000064427 7102_ $$12003$$2395$$aUniversidad de Zaragoza$$bDpto. Física Materia Condensa.$$cÁrea Física Materia Condensada 000064427 773__ $$g2, 11 (2016), e1601679$$pSci. Adv.$$tScience Advances$$x2375-2548 000064427 8564_ $$s237110$$uhttps://zaguan.unizar.es/record/64427/files/texto_completo.pdf$$yVersión publicada 000064427 8564_ $$s141089$$uhttps://zaguan.unizar.es/record/64427/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000064427 909CO $$ooai:zaguan.unizar.es:64427$$particulos$$pdriver 000064427 951__ $$a2020-02-21-13:45:12 000064427 980__ $$aARTICLE