Abstract A new kind of generalized reduced-order synchronization of different chaotic systems is proposed in this paper. It is shown that dynamical evolution of third-order oscillator can be synchronized with the canonical projection of a fourth-order chaotic system generated through nonsingular states transformation from a cell neural net chaotic system. In this sense, it is said that generalized synchronization is achieved in reduced-order. The synchronization discussed here expands the scope of reduced-order synchronization studied in relevant literatures. In this way, we can achieve generalized reduced-order synchronization between many famous chaotic systems such as the second-order D\"{u}ffing system and the third-order Lorenz system by designing a fast slide mode controller. Simulation results are provided to verify the operation of the designed synchronization.
Received: 20 May 2005
Revised: 29 August 2005
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 60374037) and the National High Technology Development Program of China (Grant No 2004BA204B08-02).
Cite this article:
Gao Tie-Gang (高铁杠), Chen Zeng-Qiang (陈增强), Yuan Zhu-Zhi (袁著祉) Generalized reduced-order synchronization of chaotic system based on fast slide mode 2005 Chinese Physics 14 2421
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