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

文献类型：期刊论文

作者Wang, Da1; Liu, Shutang1; Liu, Kexin2; Zhao, Yang1
刊名JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
出版日期2016-11-01
卷号6期号:4页码:1049-1063
关键词Time-delay complex system julia set control synchronization
ISSN号2156-907X
DOI10.11948/201A68
英文摘要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.
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
语种英语
WOS记录号WOS:000385782700010
出版者WILMINGTON SCIENTIFIC PUBLISHER, LLC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/23710]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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