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Generalized synchronization of discrete systems |
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| Authors: | Ma Zhong-jun Liu Zeng-rong Zhang Gang |
| Affiliation: | College of Mathematics and Computer Sciences, Guilin University of Electronic Technology, Guilin 541004, P. R. China;College of Sciences, Shanghai University, Shanghai 200444, P. R. China;Institute of System Biology, Shanghai University, Shanghai 200444, P. R. China;Department of Mathematics, Shijiazhuang College, Shijiazhuang 050035, P. R. China |
| 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. |
| Keywords: | generalized synchronization coupling discrete systems |
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