Synchronization and parameter identification of one class of realistic chaotic circuit

doi:10.1088/1674-1056/18/9/025

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	Synchronization and parameter identification of one class of realistic chaotic circuit
	Wang Chun-Ni; Ma Jun; Chu Run-Tong; Li Shi-Rong
刊名	CHINESE PHYSICS B
	2009-09
卷号	18 期号:9 页码:3766-3771
关键词	Pikovsky-Rabinovich parameter identification chaos adaptive synchronization
ISSN号	1674-1056
DOI	10.1088/1674-1056/18/9/025
英文摘要	In this paper, the synchronization and the parameter identification of the chaotic Pikovsky-Rabinovich (PR) circuits are investigated. The linear error of the second corresponding variables is used to change the driven chaotic PR circuit, and the complete synchronization of the two identical chaotic PR circuits is realized with feedback intensity k increasing to a certain threshold. The Lyapunov exponents of the chaotic PR circuits are calculated by using different feedback intensities and our results are confirmed. The case where the two chaotic PR circuits are not identical is also investigated. A general positive Lyapunov function V, which consists of all the errors of the corresponding variables and parameters and changeable gain coefficient, is constructed by using the Lyapunov stability theory to study the parameter identification and complete synchronization of two non-identical chaotic circuits. The controllers and the parameter observers could be obtained analytically only by simplifying the criterion dV/dt < 0 (differential coefficient of Lyapunov function V with respect to time is negative). It is confirmed that the two non-identical chaotic PR circuits could still reach complete synchronization and all the unknown parameters in the drive system are estimated exactly within a short transient period.
资助项目	National Nature Science Foundation of China[10747005] ; Natural science foundation of Lanzhou University of Technology, China[Q200706]
WOS研究方向	Physics
语种	英语
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000269578700025
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/35352]
专题	理学院
通讯作者	Ma Jun
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China
推荐引用方式 GB/T 7714	Wang Chun-Ni,Ma Jun,Chu Run-Tong,et al. Synchronization and parameter identification of one class of realistic chaotic circuit[J]. CHINESE PHYSICS B,2009,18(9):3766-3771.
APA	Wang Chun-Ni,Ma Jun,Chu Run-Tong,&Li Shi-Rong.(2009).Synchronization and parameter identification of one class of realistic chaotic circuit.CHINESE PHYSICS B,18(9),3766-3771.
MLA	Wang Chun-Ni,et al."Synchronization and parameter identification of one class of realistic chaotic circuit".CHINESE PHYSICS B 18.9(2009):3766-3771.