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CONTROL AND SYNCHRONIZATION OF JULIA SETS GENERATED BY A CLASS OF COMPLEX TIME-DELAY RATIONAL MAP
Wang, Da1; Liu, Shutang1; Liu, Kexin2; Zhao, Yang1
2016-11-01
Source PublicationJOURNAL OF APPLIED ANALYSIS AND COMPUTATION
ISSN2156-907X
Volume6Issue:4Pages:1049-1063
AbstractIn 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.
KeywordTime-delay complex system julia set control synchronization
DOI10.11948/201A68
Language英语
Funding ProjectKey Program of National Natural Science Foundation of China[61533011] ; National Nature Science Foundation of China[61273088] ; National Nature Science Foundation of China[61403231]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000385782700010
PublisherWILMINGTON SCIENTIFIC PUBLISHER, LLC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/23711
Collection中国科学院数学与系统科学研究院
Corresponding AuthorLiu, Shutang
Affiliation1.Shandong Univ, Coll Control Sci & Engn, Jinan 250061, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100191, Peoples R China
Recommended Citation
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.
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