 Optimum topology and coupling strength for synchronizationXiaojian Xi, Shirin Panahi, Viet-Thanh Pham, Zhen Wang, Sajad Jafari and Iqtadar Hussain Applied Mathematics and Computation, 2020, vol. 379, issue C Abstract: The category of the small-world networks is neither random (like random networks) nor highly ordered (like regular networks). Their special properties are the combination of high clustering coefficient and short path length which can be seen in many real world networks. Synchronization of a small-world topology of dynamical network receives a great deal of attention in recent years. Here, the synchronization of a small-world network is compared with a regular and random network with the same number of nodes and links. To this end, identical network contains 100 nodes with three different topologies (regular, small-world and random) are considered. The linear stability of the synchronization manifold of these networks is investigated by the help of master stability function approach. Therefore, the synchronization problem is linked to the Laplacian matrix of the network. Through numerical analysis, we show that the optimum coupling strength belongs to the small-world network with proper rewiring probabilities. Keywords: Network topology; Synchronization; Master stability function (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:379:y:2020:i:c:s0096300320301958 DOI: 10.1016/j.amc.2020.125226 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.