Adaptive synchronisation of fractional-order chaotic systems

doi:10.1088/1674-1056/19/2/020510

Abstract A new stability theory of nonlinear dynamic systems is proposed, and a novel adaptive synchronisation method is presented for fractional-order chaotic and hyperchaotic systems based on the theory described in this paper. In comparison with previous methods, not only is the present control scheme simple but also it employs only one control strength, converges very fast, and it is also suitable for a large class of fractional-order chaotic and hyperchaotic systems. Moreover, this scheme is analytical and simple to implement in practice. Numerical and circuit simulations are used to validate and demonstrate the effectiveness of the method.

Keywords: new stability theory fractional-order chaotic system adaptive synchronisation

Received: 30 June 2009
Revised: 19 August 2009
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Gg	(Control of chaos, applications of chaos)

Fund: Project supported by the Natural Science Foundation of Hebei Province of China (Grant No.~A2008000136).

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Zhang Ruo-Xun(张若洵) and Yang Shi-Ping(杨世平) Adaptive synchronisation of fractional-order chaotic systems 2010 Chin. Phys. B 19 020510

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