Synchronization in complex networks
Alex Arenas,Alex Arenas,Albert Díaz-Guilera,Albert Díaz-Guilera,Jürgen Kurths,Jürgen Kurths,Yamir Moreno,Changsong Zhou +7 more
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TLDR
The advances in the comprehension of synchronization phenomena when oscillating elements are constrained to interact in a complex network topology are reported and the new emergent features coming out from the interplay between the structure and the function of the underlying pattern of connections are overviewed.About:
This article is published in Physics Reports.The article was published on 2008-12-01 and is currently open access. It has received 2953 citations till now. The article focuses on the topics: Complex network & Phase synchronization.read more
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The structure and dynamics of multilayer networks
Stefano Boccaletti,Ginestra Bianconi,Regino Criado,Regino Criado,C.I. del Genio,Jesús Gómez-Gardeñes,Miguel Romance,Miguel Romance,Irene Sendiña-Nadal,Irene Sendiña-Nadal,Zhen Wang,Massimiliano Zanin +11 more
TL;DR: This work offers a comprehensive review on both structural and dynamical organization of graphs made of diverse relationships (layers) between its constituents, and cover several relevant issues, from a full redefinition of the basic structural measures, to understanding how the multilayer nature of the network affects processes and dynamics.
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Link prediction in complex networks: A survey
TL;DR: Recent progress about link prediction algorithms is summarized, emphasizing on the contributions from physical perspectives and approaches, such as the random-walk-based methods and the maximum likelihood methods.
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Spatial Networks
TL;DR: In this article, the authors expose the current state of the understanding of how the spatial constraints affect the structure and properties of these networks and review the most recent empirical observations and the most important models of spatial networks.
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Synchronization in complex networks of phase oscillators: A survey
Florian Dörfler,Francesco Bullo +1 more
TL;DR: This survey reviews the vast literature on the theory and the applications of complex oscillator networks, focusing on phase oscillator models that are widespread in real-world synchronization phenomena, that generalize the celebrated Kuramoto model, and that feature a rich phenomenology.
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Second-Order Consensus for Multiagent Systems With Directed Topologies and Nonlinear Dynamics
TL;DR: To describe the system's ability for reaching consensus, a new concept about the generalized algebraic connectivity is defined for strongly connected networks and then extended to the strongly connected components of the directed network containing a spanning tree.
References
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TL;DR: In this paper, a simple model based on the power-law degree distribution of real networks was proposed, which was able to reproduce the power law degree distribution in real networks and to capture the evolution of networks, not just their static topology.
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The Structure and Function of Complex Networks
TL;DR: Developments in this field are reviewed, including such concepts as the small-world effect, degree distributions, clustering, network correlations, random graph models, models of network growth and preferential attachment, and dynamical processes taking place on networks.