中国物理B ›› 2005, Vol. 14 ›› Issue (12): 2421-2427.doi: 10.1088/1009-1963/14/12/009

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Generalized reduced-order synchronization of chaotic system based on fast slide mode

陈增强1, 袁著祉1, 高铁杠2   

  1. (1)Department of Automation, Nankai University, Tianjin 300070, China; (2)Department of Automation, Nankai University, Tianjin 300070, China;College of Software, Nankai University, Tianjin 300070, China
  • 收稿日期:2005-05-20 修回日期:2005-08-29 出版日期:2005-12-20 发布日期:2005-12-20
  • 基金资助:
    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).

Generalized reduced-order synchronization of chaotic system based on fast slide mode

Gao Tie-Gang (高铁杠)ab, Chen Zeng-Qiang (陈增强)a, Yuan Zhu-Zhi (袁著祉)a   

  1. a Department of Automation, Nankai University, Tianjin 300070, China; b College of Software, Nankai University, Tianjin 300070, China
  • Received:2005-05-20 Revised:2005-08-29 Online:2005-12-20 Published:2005-12-20
  • Supported by:
    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).

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摘要： 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.

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.

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Pq (Numerical simulations of chaotic systems)