Coherence analysis of a class of weighted networks

DOI10.1063/1.4997059zbMath1392.37043OpenAlexW2796563182WikidataQ92448652 ScholiaQ92448652MaRDI QIDQ4565975

Yue Zong, Jiaojiao He, Tingting Ju, Wei Yi Su, Meifeng Dai, Yu Sun

Publication date: 13 June 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4997059

zbMATH Keywords

Laplacian matrixweighted networksconsensus dynamics

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems with randomness (34F05) Generation, random and stochastic difference and differential equations (37H10)

Related Items (15)

The Laplacian spectrum and average trapping time for weighted Dyson hierarchical network ⋮ Mean first-passage times for two biased walks on the weighted rose networks ⋮ The trapping problem of the weighted scale-free treelike networks for two kinds of biased walks ⋮ NETWORK COHERENCE ANALYSIS ON A FAMILY OF NESTED WEIGHTED n-POLYGON NETWORKS ⋮ SCALING PROPERTIES OF FIRST RETURN TIME ON WEIGHTED TRANSFRACTALS (1,3)-FLOWERS ⋮ CHARACTERISTIC POLYNOMIAL OF ADJACENCY OR LAPLACIAN MATRIX FOR WEIGHTED TREELIKE NETWORKS ⋮ COHERENCE ANALYSIS FOR ITERATED LINE GRAPHS OF MULTI-SUBDIVISION GRAPH ⋮ MEAN VALUE PROPERTY OF HARMONIC FUNCTION ON THE HIGHER-DIMENSIONAL SIERPINSKI GASKET ⋮ DIRICHLET PROBLEM OF POISSON EQUATIONS AND VARIATIONAL PRINCIPLE ON A TYPE OF FRACTAL SETS ⋮ Applications of Markov spectra for the weighted partition network by the substitution rule ⋮ EIGENTIME IDENTITY OF THE WEIGHTED KOCH NETWORKS ⋮ Leader selection for coherence in symmetric and asymmetric trees ⋮ Noisy consensus dynamics in windmill-type graphs ⋮ Laplacian spectrum and coherence analysis of weighted hypercube network ⋮ LEADER–FOLLOWER COHERENCE OF THE WEIGHTED RECURSIVE TREE NETWORKS

Cites Work

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• SPECTRAL ANALYSIS FOR WEIGHTED ITERATED TRIANGULATIONS OF GRAPHS
• Coordination of groups of mobile autonomous agents using nearest neighbor rules
• Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
• Coherence in Large-Scale Networks: Dimension-Dependent Limitations of Local Feedback
• Random walks on dual Sierpinski gaskets

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