期刊
PHYSICS LETTERS A
卷 374, 期 13-14, 页码 1464-1468出版社
ELSEVIER
DOI: 10.1016/j.physleta.2010.01.042
关键词
Fractional-order system; Caputo fractional derivative; Star network; Chaos synchronization
资金
- National Natural Science Foundation of China [60736028, 10871074, 60704045]
- Natural Science Foundation of Guangdong Province [9451042001004076]
- Higher Education of China [20070558053]
The topic of fractional calculus is enjoying growing interest among mathematicians, physicists and engineers in recent years. For complex network consisting of more than two fractional-order systems, however, it is difficult to establish its synchronization behavior. In this Letter, we study the synchronized motions in a star network of coupled fractional-order systems in which the major element is coupled to each of the noninteracting individual elements. On the basis of the stability theory of linear fractional-order differential equations, we derive a sufficient condition for the stability of the synchronization behavior in such a network. Furthermore, we verify our theoretical results by numerical simulations of star-coupled network with fractional-order chaotic nodes. (C) 2010 Elsevier B.V. All rights reserved.
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