Abstract A universal adaptive generalized functional synchronization approach to any two different or identical chaotic systems with unknown parameters is proposed, based on a unified mathematical expression of a large class of chaotic system. Self-adaptive parameter law and control law are given in the form of a theorem. The synchronization between the three-dimensional Rössler chaotic system and the four-dimensional Chen's hyper-chaotic system is studied as an example for illustration. The computer simulation results demonstrate the feasibility of the method proposed.
Received: 29 December 2007
Revised: 22 January 2008
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 50677021), partially
by the Key Project Foundation of North China Electric Power
University (Grant No 20041306) and by the Scientific Research
Foundation for the Returned Overseas Chinese Scholar, NCEPU (Grant
No 200814002).
Cite this article:
Wang Dong-Feng(王东风) and Han Pu(韩璞) Adaptive generalized functional synchronization of chaotic systems with unknown parameters 2008 Chin. Phys. B 17 3603
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