SYNCHRONIZATION IN THE FAMILY OF CHAOTIC SMALL-WORLD NETWORKS

Liangming He () and Duanwen Shi
Additional contact information
Liangming He: College of Physics and Electronic Engineering, Guangxi University for Nationalities, Nanning, 530006, P. R. China
Duanwen Shi: Department of Physics, Hainan Normal University, Haikou, 571158, P. R. China

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 01, 111-123

Abstract: In this paper we investigate by computer simulation the synchronizability of the family of small-world networks, which consists of identical chaotic units, such as the Lorenz chaotic system, the Chen chaotic system, Lü chaotic system, and the unified chaotic system (unit). It is shown that for weak coupling, synchronization clusters emerge in the networks whose disorder probabilitiespare large but do not emerge in the networks whose disorder probabilitiespare small; while for strong coupling under which the regular networks do not exhibit synchronization, all dynamical nodes, behaving as in the random networks, mutually synchronize in the networks which own very small disorder probabilitypand have both high degree of clustering and small average distance. Based on the concepts of clustering coefficientC(p), characteristic path lengthL(p)and global efficiencyE(G), these phenomena are discussed briefly.

Keywords: Complex systems; synchronization and coupled oscillators; high-dimensional chaos; 89.75.Fb; 05.45.Xt; 05.45.Jn (search for similar items in EconPapers)
Date: 2008
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183108011966
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:19:y:2008:i:01:n:s0129183108011966

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183108011966

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().