General hybrid projective complete dislocated synchronization with non-derivative and derivative coupling based on parameter identification in several chaotic and hyperchaotic systems

• Published in: Chinese physics B 2013-04, Vol.22 (4), p.185-195
• Main Author: 孙军伟 沈轶 张国东 王延峰 崔光照
• Format: Article
• Language: English
• Subjects: Lyapunov稳定性定理; 参数辨识; 完全同步; 投影同步; 混合动力驱动系统; 耦合驱动; 衍生; 超混沌系统
• ISSN: 1674-1056; 2058-3834
• DOI: 10.1088/1674-1056/22/4/040508

According to the Lyapunov stability theorem, a new general hybrid projective complete dislocated synchronization scheme with non-derivative and derivative coupling based on parameter identification is proposed under the framework of drive-response systems. Every state variable of the response system equals the summation of the hybrid drive systems in the previous hybrid synchronization. However, every state variable of the drive system equals the summation of the hybrid response systems while evolving with time in our method. Complete synchronization, hybrid dislocated synchronization, projective synchronization, non-derivative and derivative coupling, and parameter identification are included as its special item. The Lorenz chaotic system, Rssler chaotic system, memristor chaotic oscillator system, and hyperchaotic Lü system are discussed to show the effectiveness of the proposed methods.