Synchronization of hyperchaotic Chen systems: a class of the adaptive control approach

doi:10.1088/1674-1056/19/4/040507

Abstract The synchronization of hyperchaotic Chen systems is considered. An adaptive synchronization approach and a cascade adaptive synchronization approach are presented to synchronize a drive system and a response system. By utilizing an adaptive controller based on the dynamic compensation mechanism, exact knowledge of the systems is not necessarily required, and the synchronous speed is controllable by tuning the controller parameters. Sufficient conditions for the asymptotic stability of the two synchronization schemes are derived. Numerical simulation results demonstrate that the adaptive synchronization scheme with four control inputs and the cascade adaptive synchronization scheme with only one control signal are effective and feasible in chaos synchronization of hyperchaotic systems.

Keywords: hyperchaotic Chen systems adaptive synchronization cascade adaptive synchronization synchronous speed

Received: 12 November 2009
Revised: 10 December 2009
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: Project supported by the National Basic Research Program of China (Grant No. 2007CB210106).

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Wei Wei(魏伟), Li Dong-Hai(李东海), and Wang Jing(王京) Synchronization of hyperchaotic Chen systems: a class of the adaptive control approach 2010 Chin. Phys. B 19 040507

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