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Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (5): 609-614 .doi: https://doi.org/10.1007/s10483-007-0506-y

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Generalized synchronization of discrete systems

MA Zhong-jun, LIU Zeng-rong, ZHANG Gang   

    1. College of Mathematics and Computer Sciences, Guilin University of Electronic Technology, Guilin 541004, P. R. China;
    2. College of Sciences, Shanghai University, Shanghai 200444, P. R. China;
    3. Institute of System Biology, Shanghai University, Shanghai 200444, P. R. China;
    4. Department of Mathematics, Shijiazhuang College, Shijiazhuang 050035, P. R. China
  • Received:2005-04-05 Revised:2007-01-04 Online:2007-05-18 Published:2007-05-18
  • Contact: LIU Zeng-rong

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Abstract: Generalized synchronization of two discrete systems was discussed. By constructing appropriately nonlinear coupling terms, some sufficient conditions for determining the generalized synchronization between the drive and response systems were derived. In a positive invariant and bounded set, many chaotic maps satisfy the sufficient conditions. The effectiveness of the sufficient conditions is illustrated by three examples.

Key words: generalized synchronization, coupling, discrete systems

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