Generalized synchronization of discrete systems

doi:10.1007/s10483-007-0506-y

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

Generalized synchronization of discrete systems

马忠军, 刘曾荣, 张刚

收稿日期:2005-04-05 修回日期:2007-01-04 出版日期:2007-05-18 发布日期:2007-05-18
通讯作者: 刘曾荣

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

摘要/Abstract

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

中图分类号:

马忠军;刘曾荣;张刚. Generalized synchronization of discrete systems[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(5): 609-614 .

MA Zhong-jun;LIU Zeng-rong;ZHANG Gang. Generalized synchronization of discrete systems[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(5): 609-614 .

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[5]	邓子辰;钟万勰. TIME PRECISE INTEGRATION METHOD FOR CONSTRAINED NONLINEAR CONTROL SYSTEM[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(1): 18-25.

Generalized synchronization of discrete systems

Generalized synchronization of discrete systems

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