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Coherence analysis of a class of weighted networks.
Dai, Meifeng; He, Jiaojiao; Zong, Yue; Ju, Tingting; Sun, Yu; Su, Weiyi.
Afiliación
  • Dai M; Institute of Applied System Analysis, Jiangsu University, Zhenjiang, Jiangsu 212013, People's Republic of China.
  • He J; Institute of Applied System Analysis, Jiangsu University, Zhenjiang, Jiangsu 212013, People's Republic of China.
  • Zong Y; Institute of Applied System Analysis, Jiangsu University, Zhenjiang, Jiangsu 212013, People's Republic of China.
  • Ju T; Institute of Applied System Analysis, Jiangsu University, Zhenjiang, Jiangsu 212013, People's Republic of China.
  • Sun Y; Institute of Applied System Analysis, Jiangsu University, Zhenjiang, Jiangsu 212013, People's Republic of China.
  • Su W; Department of Mathematics, Nanjing University, Nanjing 210093, People's Republic of China.
Chaos ; 28(4): 043110, 2018 Apr.
Article en En | MEDLINE | ID: mdl-31906665
This paper investigates consensus dynamics in a dynamical system with additive stochastic disturbances that is characterized as network coherence by using the Laplacian spectrum. We introduce a class of weighted networks based on a complete graph and investigate the first- and second-order network coherence quantifying as the sum and square sum of reciprocals of all nonzero Laplacian eigenvalues. First, the recursive relationship of its eigenvalues at two successive generations of Laplacian matrix is deduced. Then, we compute the sum and square sum of reciprocal of all nonzero Laplacian eigenvalues. The obtained results show that the scalings of first- and second-order coherence with network size obey four and five laws, respectively, along with the range of the weight factor. Finally, it indicates that the scalings of our studied networks are smaller than other studied networks when 1d
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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Chaos Asunto de la revista: CIENCIA Año: 2018 Tipo del documento: Article Pais de publicación: Estados Unidos
Texto completo
Añadir a Mi BVS
Imprimir
XML
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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Chaos Asunto de la revista: CIENCIA Año: 2018 Tipo del documento: Article Pais de publicación: Estados Unidos