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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 |
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 |
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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.
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Received: 20 August 2012
Revised: 09 October 2012
Accepted manuscript online:
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PACS:
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05.45.Xt
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(Synchronization; coupled oscillators)
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05.45.Gg
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(Control of chaos, applications of chaos)
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05.45.Jn
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(High-dimensional chaos)
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| Fund: 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). |
Corresponding Authors:
Shen Yi
E-mail: yishen64@163.com
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Cite this article:
Sun Jun-Wei (孙军伟), Shen Yi (沈轶), Zhang Guo-Dong (张国东), Wang Yan-Feng (王延峰), Cui Guang-Zhao (崔光照) General hybrid projective complete dislocated synchronization with non-derivative and derivative coupling based on parameters identification in several chaotic and hyperchaotic systems 2013 Chin. Phys. B 22 040508
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