Adaptive lag synchronization and parameter identification of fractional order chaotic systems

doi:10.1088/1674-1056/20/9/090512

中国物理B ›› 2011, Vol. 20 ›› Issue (9): 90512-090512.doi: 10.1088/1674-1056/20/9/090512

Adaptive lag synchronization and parameter identification of fractional order chaotic systems

张若洵, 杨世平

College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China

收稿日期:2010-10-14 修回日期:2011-03-28 出版日期:2011-09-15 发布日期:2011-09-15

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)^†

^aCollege of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China; ^b College of Elementary Education, Xingtai University, Xingtai 054001, China

Received:2010-10-14 Revised:2011-03-28 Online:2011-09-15 Published:2011-09-15

摘要/Abstract

摘要： 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.

关键词: adaptive lag synchronization, parameter identification, fractional order chaotic system

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.

Key words: adaptive lag synchronization, parameter identification, fractional order chaotic system

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Gg (Control of chaos, applications of chaos)

张若洵, 杨世平. Adaptive lag synchronization and parameter identification of fractional order chaotic systems[J]. 中国物理B, 2011, 20(9): 90512-090512.

Zhang Ruo-Xun(张若洵) and Yang Shi-Ping(杨世平) . Adaptive lag synchronization and parameter identification of fractional order chaotic systems[J]. Chin. Phys. B, 2011, 20(9): 90512-090512.

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Adaptive lag synchronization and parameter identification of fractional order chaotic systems

Adaptive lag synchronization and parameter identification of fractional order chaotic systems

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