Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (4): 40508-040508.doi: 10.1088/1674-1056/22/4/040508

• GENERAL • 上一篇    下一篇

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

孙军伟a, 沈轶a, 张国东a, 王延峰b, 崔光照b   

  1. a Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;
    b Henan Key Laboratory of Information-based Electrical Appliances, Zhengzhou University of Light Industry, Zhengzhou 450002, China
  • 收稿日期:2012-08-20 修回日期:2012-10-09 出版日期:2013-03-01 发布日期:2013-03-01
  • 基金资助:
    Project supported by the State Key Program of the National Natural Science Foundation of China (Grant No. 61134012), the National Natural Science Foundation of China (Grant Nos. 11271146 and 61070238), the Basic and Frontier Technology Research Program of Henan Province of China (Grant No. 122300413211), the Distinguished Talents Program of Henan Province of China (Grant No. 124200510017), and the China Postdoctoral Science Foundation of China (Grant No. 2012M511615).

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

Sun Jun-Wei (孙军伟)a, Shen Yi (沈轶)a, Zhang Guo-Dong (张国东)a, Wang Yan-Feng (王延峰)b, Cui Guang-Zhao (崔光照)b   

  1. a Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;
    b Henan Key Laboratory of Information-based Electrical Appliances, Zhengzhou University of Light Industry, Zhengzhou 450002, China
  • Received:2012-08-20 Revised:2012-10-09 Online:2013-03-01 Published:2013-03-01
  • Contact: Shen Yi E-mail:yishen64@163.com
  • Supported by:
    Project supported by the State Key Program of the National Natural Science Foundation of China (Grant No. 61134012), the National Natural Science Foundation of China (Grant Nos. 11271146 and 61070238), the Basic and Frontier Technology Research Program of Henan Province of China (Grant No. 122300413211), the Distinguished Talents Program of Henan Province of China (Grant No. 124200510017), and the China Postdoctoral Science Foundation of China (Grant No. 2012M511615).

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

关键词: complete dislocated synchronization, parameters identification, non-derivative and derivative coupling, memristor chaotic oscillator system

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

Key words: complete dislocated synchronization, parameters identification, non-derivative and derivative coupling, memristor chaotic oscillator system

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos) 05.45.Jn (High-dimensional chaos)