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The role of leadership in the synchronization of directed complex networks

Sheshbolouki, A ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1088/1742-5468/2015/10/P10022
  3. Publisher: Institute of Physics Publishing , 2015
  4. Abstract:
  5. Synchronization is a phenomenon that occurs in systems of interacting units, and is widespread in nature, society and technology. Recent studies have enlightened us regarding the interplay between synchronization dynamics and interaction structure. However, most of these studies neglect that real-world networks may actually be directed and disconnected. Here, we study the synchronization of directed networks with multiple leaders using the Kuramoto model. We found that in networks with high driving strength, the steady-state frequency of each node is determined by the linear combination of leaders natural frequencies, with structural coe?cients that can be calculated using the eigenvectors of a network Laplacian matrix corresponding to zero eigenvalues. The steady-state frequencies of the nodes following multiple leaders are not fixed and have sharp peaks between consecutive time instances where leaders meet each other in the phase circle. The results suggest a new way of understanding how leadership style influences the synchronization dynamics of directed networks
  6. Keywords:
  7. Network dynamics ; Networks ; Nonlinear dynamics ; Random graphs
  8. Source: Journal of Statistical Mechanics: Theory and Experiment ; Volume 2015, Issue 10 , 2015 ; 17425468 (ISSN)
  9. URL: http://iopscience.iop.org/article/10.1088/1742-5468/2015/10/P10022/meta;jsessionid=0D7591C2EB5CB80F15D2906CAD298884.c3.iopscience.cld.iop.org