Synchronizability of Small-World Networks Generated from a Two-Dimensional Kleinberg Model
Joint Authors
Feng, Jianwen
Wang, Jingyi
Zhao, Yi
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-28
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper investigates the synchronizability of small-world networks generated from a two-dimensional Kleinberg model, which is more general than NW small-world network.
The three parameters of the Kleinberg model, namely, the distance of neighbors, the number of edge-adding, and the edge-adding probability, are analyzed for their impacts on its synchronizability and average path length.
It can be deduced that the synchronizability becomes stronger as the edge-adding probability increases, and the increasing edge-adding probability could make the average path length of the Kleinberg small-world network go smaller.
Moreover, larger distance among neighbors and more edges to be added could play positive roles in enhancing the synchronizability of the Kleinberg model.
The lorentz oscillators are employed to verify the conclusions numerically.
American Psychological Association (APA)
Zhao, Yi& Feng, Jianwen& Wang, Jingyi. 2013. Synchronizability of Small-World Networks Generated from a Two-Dimensional Kleinberg Model. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1009407
Modern Language Association (MLA)
Zhao, Yi…[et al.]. Synchronizability of Small-World Networks Generated from a Two-Dimensional Kleinberg Model. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1009407
American Medical Association (AMA)
Zhao, Yi& Feng, Jianwen& Wang, Jingyi. Synchronizability of Small-World Networks Generated from a Two-Dimensional Kleinberg Model. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1009407
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009407