Synchronization in complex networks |
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| Authors: | Alex Arenas,Albert Dí az-Guilera,Jurgen Kurths,Yamir Moreno,Changsong Zhou |
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| Affiliation: | 1. Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, 43007 Tarragona, Spain;2. Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, Zaragoza 50009, Spain;3. Departament de Física Fonamental, Universitat de Barcelona, 08028 Barcelona, Spain;4. Institute of Physics, Humboldt University, D-12489 Berlin, Newtonstrasse 15, Germany;5. Potsdam Institute for Climate Impact Research, 14412 Potsdam, PF 601203, Germany;6. Department of Theoretical Physics, University of Zaragoza, Zaragoza 50009, Spain;g Department of Physics and Centre for Nonlinear Studies, Hong Kong Baptist University, Kowloon Tong, Hong Kong, China |
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| Abstract: | Synchronization processes in populations of locally interacting elements are the focus of intense research in physical, biological, chemical, technological and social systems. The many efforts devoted to understanding synchronization phenomena in natural systems now take advantage of the recent theory of complex networks. In this review, we report the advances in the comprehension of synchronization phenomena when oscillating elements are constrained to interact in a complex network topology. We also take an overview of the new emergent features coming out from the interplay between the structure and the function of the underlying patterns of connections. Extensive numerical work as well as analytical approaches to the problem are presented. Finally, we review several applications of synchronization in complex networks to different disciplines: biological systems and neuroscience, engineering and computer science, and economy and social sciences. |
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| Keywords: | 05.45.Xt 89.75.Fb 89.75.Hc |
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