Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems)

doi:10.1088/1674-1056/19/9/090503

Abstract Based on the idea of tracking control and stability theory of fractional-order systems, a controller is designed to synchronize the fractional-order chaotic system with chaotic systems of integer orders, and synchronize the different fractional-order chaotic systems. The proposed synchronization approach in this paper shows that the synchronization between fractional-order chaotic systems and chaotic systems of integer orders can be achieved, and the synchronization between different fractional-order chaotic systems can also be realized. Numerical experiments show that the present method works very well.

Keywords: fractional-order chaotic systems chaotic systems of integer orders different fractional-order chaotic systems synchronization

Received: 30 December 2009
Revised: 21 February 2010
Accepted manuscript online:

PACS:

0545

Fund: Project supported by the Education Committee of Chongqing Province, China (Grant No. KJ090503).

Cite this article:

Zhou Ping(周平), Cheng Yuan-Ming(程元明), and Kuang Fei(邝菲) Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems) 2010 Chin. Phys. B 19 090503

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Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems)

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