Long-Range Interactions and Network Synchronization

DOI10.1137/17M1124310zbMath1382.05069arXiv1704.01349MaRDI QIDQ4608097

Ernesto Estrada, Lucia Valentina Gambuzza, Mattia Frasca

Publication date: 15 March 2018

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01349

zbMATH Keywords

long-range interactionssynchronizationnetworks of coupled dynamical systems

Mathematics Subject Classification ID

Applications of graph theory (05C90) Small world graphs, complex networks (graph-theoretic aspects) (05C82) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (5)

Synchronization in complex networks with long-range interactions ⋮ Cluster synchronization of nonlinearly coupled Lur'e networks: delayed impulsive adaptive control protocols ⋮ Consensus dynamics on weighted multiplex networks: a long-range interaction perspective ⋮ Second-order consensus protocols based on transformed \(d\)-path Laplacians ⋮ Neuronal synchronization in long-range time-varying networks

Uses Software

• Pajek
• Pajek datasets

Cites Work

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• Path Laplacian matrices: introduction and application to the analysis of consensus in networks
• The Kuramoto model in complex networks
• Phase synchronization in complex networks with decayed long-range interactions
• Network synchronizability analysis: the theory of subgraphs and complementary graphs
• Relaxing the uniformity and independence assumptions using the concept of fractal dimension
• Path Laplacian operators and superdiffusive processes on graphs. I: One-dimensional case
• Complex networks: structure and dynamics
• The Structure and Function of Complex Networks
• Characterizing the Synchronizability of Small-World Dynamical Networks
• Structure of triadic relations in multiplex networks
• Network synchronizability analysis: A graph-theoretic approach
• Collective dynamics of ‘small-world’ networks

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