A general method for synchronizing an integer-order chaotic system and a fractional-order chaotic system

Gang Quan Si; Zhi Yong Sun; Yan Bin Zhang

doi:10.1088/1674-1056/20/8/080505

A general method for synchronizing an integer-order chaotic system and a fractional-order chaotic system

Gang Quan Si, Zhi Yong Sun^*, Yan Bin Zhang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

Abstract

This paper investigates the synchronization between integer-order and fractional-order chaotic systems. By introducing fractional-order operators into the controllers, the addressed problem is transformed into a synchronization one among integer-order systems. A novel general method is presented in the paper with rigorous proof. Based on this method, effective controllers are designed for the synchronization between Lorenz systems with an integer order and a fractional order, and for the synchronization between an integer-order Chen system and a fractional-order Liu system. Numerical results, which agree well with the theoretical analyses, are also given to show the effectiveness of this method.

Original language	English
Article number	080505
Journal	Chinese Physics B
Volume	20
Issue number	8
DOIs	https://doi.org/10.1088/1674-1056/20/8/080505
Publication status	Published - Aug 2011
Externally published	Yes

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title = "A general method for synchronizing an integer-order chaotic system and a fractional-order chaotic system",

abstract = "This paper investigates the synchronization between integer-order and fractional-order chaotic systems. By introducing fractional-order operators into the controllers, the addressed problem is transformed into a synchronization one among integer-order systems. A novel general method is presented in the paper with rigorous proof. Based on this method, effective controllers are designed for the synchronization between Lorenz systems with an integer order and a fractional order, and for the synchronization between an integer-order Chen system and a fractional-order Liu system. Numerical results, which agree well with the theoretical analyses, are also given to show the effectiveness of this method.",

keywords = "chaos synchronization, fractional calculus, fractional-order chaotic system, integer-order chaotic system",

author = "Si, {Gang Quan} and Sun, {Zhi Yong} and Zhang, {Yan Bin}",

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AU - Si, Gang Quan

AU - Sun, Zhi Yong

AU - Zhang, Yan Bin

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N2 - This paper investigates the synchronization between integer-order and fractional-order chaotic systems. By introducing fractional-order operators into the controllers, the addressed problem is transformed into a synchronization one among integer-order systems. A novel general method is presented in the paper with rigorous proof. Based on this method, effective controllers are designed for the synchronization between Lorenz systems with an integer order and a fractional order, and for the synchronization between an integer-order Chen system and a fractional-order Liu system. Numerical results, which agree well with the theoretical analyses, are also given to show the effectiveness of this method.

AB - This paper investigates the synchronization between integer-order and fractional-order chaotic systems. By introducing fractional-order operators into the controllers, the addressed problem is transformed into a synchronization one among integer-order systems. A novel general method is presented in the paper with rigorous proof. Based on this method, effective controllers are designed for the synchronization between Lorenz systems with an integer order and a fractional order, and for the synchronization between an integer-order Chen system and a fractional-order Liu system. Numerical results, which agree well with the theoretical analyses, are also given to show the effectiveness of this method.

KW - chaos synchronization

KW - fractional calculus

KW - fractional-order chaotic system

KW - integer-order chaotic system

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A general method for synchronizing an integer-order chaotic system and a fractional-order chaotic system

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