Synchronization properties of network motifs
TLDR
An analytic method is proposed to measure the stability of the synchronous state (SSS) the subgraph displays and it is shown that, for undirected graphs, the SSS is correlated with the relative abundance, while in directed graphs the correlation exists only for some specific motifs.Abstract:
We address the problem of understanding the variable abundance of 3-node and 4-node subgraphs (motifs) in complex networks from a dynamical point of view. As a criterion in the determination of the functional significance of a n-node subgraph, we propose an analytic method to measure the stability of the synchronous state (SSS) the subgraph displays. We show that, for undirected graphs, the SSS is correlated with the relative abundance, while in directed graphs the correlation exists only for some specific motifs.read more
Citations
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Synchronization in complex networks
Alex Arenas,Alex Arenas,Albert Díaz-Guilera,Albert Díaz-Guilera,Jürgen Kurths,Jürgen Kurths,Yamir Moreno,Changsong Zhou +7 more
TL;DR: 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.
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Networks beyond pairwise interactions: Structure and dynamics
Federico Battiston,Giulia Cencetti,Iacopo Iacopini,Iacopo Iacopini,Vito Latora,Maxime Lucas,Alice Patania,Jean-Gabriel Young,Giovanni Petri +8 more
TL;DR: A complete overview of the emerging field of networks beyond pairwise interactions, and focuses on novel emergent phenomena characterizing landmark dynamical processes, such as diffusion, spreading, synchronization and games, when extended beyond Pairwise interactions.
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Explosive transitions in complex networks’ structure and dynamics: Percolation and synchronization
Stefano Boccaletti,Juan A. Almendral,Juan A. Almendral,Shuguang Guan,Inmaculada Leyva,Inmaculada Leyva,Zonghua Liu,Irene Sendiña-Nadal,Irene Sendiña-Nadal,Z. Wang,Yong Zou +10 more
TL;DR: In this paper, a review of the main-stream literature on phase transitions in networked systems is presented, with the twofold aim of summarizing the existing results and pointing out possible directions for future research.
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Synchronization in networks with multiple interaction layers.
TL;DR: This work proposes 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 and shows that highly rich phenomenology emerges from this.
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Dynamical and spectral properties of complex networks
TL;DR: The main dependence of the synchronization time is on the smallest nonzero eigenvalue of the Laplacian matrix, in contrast to other proposals in terms of the spectrum of the adjacency matrix.
References
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“Bioinformatics” 특집을 내면서
TL;DR: Assessment of medical technology in the context of commercialization with Bioentrepreneur course, which addresses many issues unique to biomedical products.
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Network motifs in the transcriptional regulation network of Escherichia coli
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Three coupled oscillators as a universal probe of synchronization stability in coupled oscillator arrays
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