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Adaptive lag synchronization and parameter identification of fractional order chaotic systems |
Zhang Ruo-Xun(张若洵)a)b) and Yang Shi-Ping(杨世平)a)† |
a College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China; b College of Elementary Education, Xingtai University, Xingtai 054001, China |
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Abstract This paper proposes a simple scheme for the lag synchronization and the parameter identification of fractional order chaotic systems based on the new stability theory. The lag synchronization is achieved and the unknown parameters are identified by using the adaptive lag laws. Moreover, the scheme is analytical and is simple to implement in practice. The well-known fractional order chaotic Lü system is used to illustrate the validity of this theoretic method.
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Received: 14 October 2010
Revised: 28 March 2011
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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Cite this article:
Zhang Ruo-Xun(张若洵) and Yang Shi-Ping(杨世平) Adaptive lag synchronization and parameter identification of fractional order chaotic systems 2011 Chin. Phys. B 20 090512
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