中国物理B ›› 2005, Vol. 14 ›› Issue (8): 1522-1525.doi: 10.1088/1009-1963/14/8/008

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Master--slave synchronization of coupled fractional-order chaotic oscillators

虞厥邦1, 高心2   

  1. (1)School of Electronic Engineering, University of Electronics Science and Technology of China, Chengdu 610054, China; (2)School of Electronic Engineering, University of Electronics Science and Technology of China, Chengdu 610054, China;School of Electrical and Information Engineering, Southwest University for Nationalities of China, Chengdu 610041, China
  • 收稿日期:2005-01-19 修回日期:2005-04-19 出版日期:2005-07-13 发布日期:2005-07-13

Master--slave synchronization of coupled fractional-order chaotic oscillators

Gao Xin (高心)ab, Yu Jue-Bang (虞厥邦)a   

  1. 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
  • Received:2005-01-19 Revised:2005-04-19 Online:2005-07-13 Published:2005-07-13

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摘要： 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.

关键词: fractional order, coupled chaotic oscillators, master--slave synchronization

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.

Key words: fractional order, coupled chaotic oscillators, master--slave synchronization

中图分类号:  (Synchronization; coupled oscillators)

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