Generalized Synchronization of Time-Delayed Discrete Systems

作     者：JING Jian-Yi MIN Le-Quan 

作者机构：Information Engineering School University of Science and Technology Beijing Beijing 100083 China Applied Science School University of Science and Technology Beijing Beijing 100083 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2009年第51卷第6期

页      面：1149-1152页

核心收录：

学科分类：07[理学] 08[工学] 070201[理学-理论物理] 0802[工学-机械工程] 0835[工学-软件工程] 0704[理学-天文学] 0702[理学-物理学] 080201[工学-机械制造及其自动化] 

基　　金：Supported by the National Natural Science Foundation of China under Grant No. 60674059 

主　　题：generalized synchronization time-delayed systems Lorenz three-dimensional chaotic map 

摘      要：This paper establishes two theorems for two time-delayed （chaotic） discrete systems to achieve timedelayed generalized synchronization （TDGS）. These two theorems uncover the genera/forms of two TDGS systems via a prescribed transformation. As examples, we convert the Lorenz three-dimensional chaotic map to an equal time-delayed system as the driving system, and construct the TDGS driven systems according to the Theorems 1 and 2. Numerical simulations demonstrate the effectiveness of the proposed theorems.