Master--slave synchronization of coupled fractional-order chaotic oscillators
Gao Xin (高心)ab, Yu Jue-Bang (虞厥邦)a
a School of Electronic Engineering, University of Electronics Science and Technology of China, Chengdu 610054, China; b School of Electrical and Information Engineering, Southwest University for Nationalities of China, Chengdu 610041, China
Abstract The dynamics of fractional-order systems have attracted increasing attentions in recent years. In this paper, we study the synchronization technique based on the master--slave synchronization scheme and apply it to the synchronization of two coupled nonlinear fractional-order electronic chaotic oscillators. Simulations show that two coupled fractional-order chaotic oscillators can be brought to an exact synchronization with appropriate coupling strength. It is interesting that the synchronization rate of the fractional-order chaotic oscillators is slower than its integer-order counterpart; however, with the increase of system order, the curves of synchronization error can be smoothened, which indicates that the master--slave synchronization of two coupled fractional order oscillators can be smoothened and stabilized.
Received: 19 January 2005
Revised: 19 April 2005
Accepted manuscript online:
PACS:
05.45.Xt
(Synchronization; coupled oscillators)
Cite this article:
Gao Xin (高心), Yu Jue-Bang (虞厥邦) Master--slave synchronization of coupled fractional-order chaotic oscillators 2005 Chinese Physics 14 1522
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