Different Types of Synchronization in Time-Delayed Systems

作     者：冯存芳 张岩 汪映海 

作者机构：Institute of Theoretical Physics Lanzhou University Lanzhou 730000 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2007年第24卷第1期

页      面：50-53页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：兰州大学理论物理与数学纯基础科学基金 

主　　题：Different Types Synchronization Time-Delayed Systems 

摘      要：We investigate different types of synchronization between two unidirectionally nonlinearly coupled identical delay- differential systems related to optical bistable or hybrid optical bistable devices. This system can represent some kinds of delay-differential models, i.e. Ikeda model, Vall^e model, sine-square model, Mackey Glass model, and so on. We find existence and sufficient stability conditions by theoretical analysis and test the correctness by＂ numerical simulations. Lag, complete and anticipating synchronization are observed, respectively. It is found that the time-delay system can be divided into two parts~ one is the instant term and the other is the delay term. Synchronization between two identical chaotic systems can be derived by adding a coupled term to the delay term in the driven system.