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Adaptive synchronization of the fractional-order unified chaotic system

Yang Yang Yang Shi-Ping Zhang Ruo-Xun

Adaptive synchronization of the fractional-order unified chaotic system

Yang Yang, Yang Shi-Ping, Zhang Ruo-Xun
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  • This article proposes an adaptive synchronization method with only one controller for the fractional-order unified chaotic system, and adaptive controller and updating law of parameter are obtained. The controller employs a single variable, and the presented control scheme is suitable for a class of fractional-order chaotic systems. In addition, the synchronization is effective in the presence of noise. Numerical simulations are used to validate and demonstrate the effectiveness of the proposed method.
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  • Abstract views:  3541
  • PDF Downloads:  1595
  • Cited By: 0
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  • Received Date:  11 January 2009
  • Accepted Date:  08 February 2009
  • Published Online:  20 September 2009

Adaptive synchronization of the fractional-order unified chaotic system

  • 1. (1)河北北方学院理学院,张家口 075000; (2)河北师范大学物理科学与信息工程学院,石家庄 050016; (3)邢台学院初等教育学院,邢台 054001

Abstract: This article proposes an adaptive synchronization method with only one controller for the fractional-order unified chaotic system, and adaptive controller and updating law of parameter are obtained. The controller employs a single variable, and the presented control scheme is suitable for a class of fractional-order chaotic systems. In addition, the synchronization is effective in the presence of noise. Numerical simulations are used to validate and demonstrate the effectiveness of the proposed method.

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