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Chaotic Synchronization in Coupled Map Lattices with Periodic Boundary Conditions
Lin, Wen-Wei1; Wang, Yi-Qian2
2002
Source PublicationSIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
ISSN1536-0040
Volume1Issue:2Pages:175-189
AbstractIn this paper, we consider a lattice of the coupled logistic map with periodic boundary conditions. We prove that synchronization occurs in the one-dimensional lattice with lattice size n = 4 for any gamma in the chaotic regime [gamma(infinity) approximate to 3.57, 4]. It is worthwhile to emphasize that, despite of the fact that there is a rigorous proof for synchronization in many systems with continuous time, almost nothing is rigorously proved for the systems with discrete time.
Keywordsynchronization coupled map lattices chaos Liapunov method
DOI10.1137/S1111111101395410
Language英语
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000208358600001
PublisherSIAM PUBLICATIONS
Citation statistics
Cited Times:15[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17757
Collection中国科学院数学与系统科学研究院
Affiliation1.Natl Tsing Hua Univ, Dept Math, Hsinchu 300, Taiwan
2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Lin, Wen-Wei,Wang, Yi-Qian. Chaotic Synchronization in Coupled Map Lattices with Periodic Boundary Conditions[J]. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS,2002,1(2):175-189.
APA Lin, Wen-Wei,&Wang, Yi-Qian.(2002).Chaotic Synchronization in Coupled Map Lattices with Periodic Boundary Conditions.SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS,1(2),175-189.
MLA Lin, Wen-Wei,et al."Chaotic Synchronization in Coupled Map Lattices with Periodic Boundary Conditions".SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 1.2(2002):175-189.
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