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Chaotic Synchronization in Coupled Map Lattices with Periodic Boundary Conditions
Lin, Wen-Wei1; Wang, Yi-Qian2
2002
发表期刊SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
ISSN1536-0040
卷号1期号:2页码:175-189
摘要In 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.
关键词synchronization coupled map lattices chaos Liapunov method
DOI10.1137/S1111111101395410
语种英语
WOS研究方向Mathematics ; Physics
WOS类目Mathematics, Applied ; Physics, Mathematical
WOS记录号WOS:000208358600001
出版者SIAM PUBLICATIONS
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/17757
专题中国科学院数学与系统科学研究院
通讯作者Lin, Wen-Wei
作者单位1.Natl Tsing Hua Univ, Dept Math, Hsinchu 300, Taiwan
2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式
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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