Abnormal synchronizing path of delay-coupled chaotic oscillators on the edge of stability

Zhao Zhuo, Shi-Min Cai and Zhong-Qian Fu

Physica A: Statistical Mechanics and its Applications, 2015, vol. 422, issue C, 175-180

Abstract: In this paper, the transition of synchronizing path of delay-coupled chaotic oscillators in a scale-free network is highlighted. Mainly, through the critical transmission delay makes chaotic oscillators be coupled on the edge of stability, we find that the transition of synchronizing path is abnormal, which is characterized by the following evidences: (a) synchronization process starts with low-degree rather than high-degree ones; (b) the high-degree nodes do not undertake the role of hub; (c) the synchronized subnetworks show a poor small-world property as a result of hubs’ absence; (d) the clustering synchronization behavior emerges even community structure is absent in the scale-free network. This abnormal synchronizing path suggests that the diverse synchronization behaviors occur in the same topology, which implies that the relationship between dynamics and structure of network is much more complicated than the common sense that the structure is the foundation of dynamics. Moreover, it also reveals the potential connection from the transition of synchronization behavior to disorder in real complex networks, e.g. Alzheimer disease.

Keywords: Chaos synchronization; Synchronizing path; Transmission delay; Scale-free network (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437114010498
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

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:eee:phsmap:v:422:y:2015:i:c:p:175-180

DOI: 10.1016/j.physa.2014.12.014

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().