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混沌系统的同步与反同步同时存在问题研究
引用本文:赵玉娥,郭荣伟,察可文.混沌系统的同步与反同步同时存在问题研究[J].山东轻工业学院学报,2014(1):44-47.
作者姓名:赵玉娥  郭荣伟  察可文
作者单位:[1]齐鲁工业大学理学院,山东济南250353 [2]山东华宇职业技术学院经济管理系,山东德州253034
基金项目:国家自然科学基金青年基金(61304133,61305130);山东省优秀中青年科学家科研奖励基金(BS2013SF023)
摘    要:本文研究了混沌系统的同步与反同步同时存在问题。首先,通过研究误差混沌系统的动力学性质,得到了一个混沌系统同步和反同步共同存在的充分条件。然后,应用自适应控制方法,得到了相应的自适应控制器。最后,数值仿真的结果验证了上述结果的正确性和有效性。

关 键 词:混沌系统  同步  反同步  共同存在  自适应控制

Study for coexistence of synchronization and anti-synchronization in the chaotic systems
ZHAO Yu-e,GUO Rong-wei,CHA Ke-wen.Study for coexistence of synchronization and anti-synchronization in the chaotic systems[J].Journal of Shandong Institute of Light Industry(Natural Science Edition),2014(1):44-47.
Authors:ZHAO Yu-e  GUO Rong-wei  CHA Ke-wen
Affiliation:1. School of Science, Qilu University of Technology, Jinan 250353, China ; 2. School of Shandong Huayu Vocational College, Dezhou 253034 ,China)
Abstract:This paper investigates the problem for coexistence of synchronization and anti-synchronization in the chaotic systems. Firstly, by studying the dynamics of error chaotic systems, a sufficient condition for the coexistence of synchronization and anti-synchronization in the chaotic systems is obtained. Secondly, an adaptive feedback controller which can realize the coexistence of synchronization and anti- synchronization in the chaotic systems is also proposed. Finally, numerical simulation verifies the correctness and effectiveness of the obtained results.
Keywords:chaotic system  synchronization  anti-synchronization  coexistence  adaptive control
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