CONTROL AND SYNCHRONIZATION OF JULIA SETS GENERATED BY A CLASS OF COMPLEX TIME-DELAY RATIONAL MAP

doi:10.11948/201A68

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	CONTROL AND SYNCHRONIZATION OF JULIA SETS GENERATED BY A CLASS OF COMPLEX TIME-DELAY RATIONAL MAP
	Wang, Da 1; Liu, Shutang 1; Liu, Kexin 2; Zhao, Yang 1
	2016-11-01
发表期刊	JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
ISSN	2156-907X
卷号	6 期号:4 页码:1049-1063
摘要	In this paper, a class of complex time-delay rational map is studied by analyzing the fractal and dynamical properties of its corresponding Julia sets (CTRM-Julia sets for short). By utilizing these given properties, a hybrid control method which contains both state feedback and parameters perturbation is applied to achieve the boundary control of CTRM-Julia set. Moreover, the synchronization of two different CTRM-Julia sets is also investigated by using coupling method. The synchronization index method is applied to demonstrate the relationship between the degree of synchronization and the coupling strength. Numerical examples are given to verify the effectiveness of control and synchronization methods.
关键词	Time-delay complex system julia set control synchronization
DOI	10.11948/201A68
语种	英语
资助项目	Key Program of National Natural Science Foundation of China[61533011] ; National Nature Science Foundation of China[61273088] ; National Nature Science Foundation of China[61403231]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000385782700010
出版者	WILMINGTON SCIENTIFIC PUBLISHER, LLC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23711
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Shutang
作者单位	1.Shandong Univ, Coll Control Sci & Engn, Jinan 250061, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100191, Peoples R China
推荐引用方式 GB/T 7714	Wang, Da,Liu, Shutang,Liu, Kexin,et al. CONTROL AND SYNCHRONIZATION OF JULIA SETS GENERATED BY A CLASS OF COMPLEX TIME-DELAY RATIONAL MAP[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION,2016,6(4):1049-1063.
APA	Wang, Da,Liu, Shutang,Liu, Kexin,&Zhao, Yang.(2016).CONTROL AND SYNCHRONIZATION OF JULIA SETS GENERATED BY A CLASS OF COMPLEX TIME-DELAY RATIONAL MAP.JOURNAL OF APPLIED ANALYSIS AND COMPUTATION,6(4),1049-1063.
MLA	Wang, Da,et al."CONTROL AND SYNCHRONIZATION OF JULIA SETS GENERATED BY A CLASS OF COMPLEX TIME-DELAY RATIONAL MAP".JOURNAL OF APPLIED ANALYSIS AND COMPUTATION 6.4(2016):1049-1063.