Spatial Disorder of Cellular Neural Networks

Cheng Hsiung Hsu; Song Sun Lin

doi:10.1007/BF03167451

Spatial Disorder of Cellular Neural Networks

Cheng Hsiung Hsu, Song Sun Lin

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

4 引文斯高帕斯（Scopus）

摘要

This paper shows the spatial disorder of one-dimensional Cellular Neural Networks (CNN) using the iteration map method. Under certain parameters, the map is one-dimensional and the spatial entropy of stable stationary solutions can be obtained explicitly as a devil-staircase like function.

原文	???core.languages.en_GB???
頁（從 - 到）	143-161
頁數	19
期刊	Japan Journal of Industrial and Applied Mathematics
卷	19
發行號	1
DOIs	https://doi.org/10.1007/BF03167451
出版狀態	已出版 - 2月 2002

存取文件

10.1007/BF03167451

引用此

@article{f68cbe776c564d2b8693f43fb5a843e8,

title = "Spatial Disorder of Cellular Neural Networks",

abstract = "This paper shows the spatial disorder of one-dimensional Cellular Neural Networks (CNN) using the iteration map method. Under certain parameters, the map is one-dimensional and the spatial entropy of stable stationary solutions can be obtained explicitly as a devil-staircase like function.",

keywords = "Bernoulli shift, Devil-staircase, Entropy, Spatial chaos",

author = "Hsu, {Cheng Hsiung} and Lin, {Song Sun}",

year = "2002",

month = feb,

doi = "10.1007/BF03167451",

language = "???core.languages.en_GB???",

volume = "19",

pages = "143--161",

journal = "Japan Journal of Industrial and Applied Mathematics",

issn = "0916-7005",

number = "1",

}

TY - JOUR

T1 - Spatial Disorder of Cellular Neural Networks

AU - Hsu, Cheng Hsiung

AU - Lin, Song Sun

PY - 2002/2

Y1 - 2002/2

N2 - This paper shows the spatial disorder of one-dimensional Cellular Neural Networks (CNN) using the iteration map method. Under certain parameters, the map is one-dimensional and the spatial entropy of stable stationary solutions can be obtained explicitly as a devil-staircase like function.

AB - This paper shows the spatial disorder of one-dimensional Cellular Neural Networks (CNN) using the iteration map method. Under certain parameters, the map is one-dimensional and the spatial entropy of stable stationary solutions can be obtained explicitly as a devil-staircase like function.

KW - Bernoulli shift

KW - Devil-staircase

KW - Entropy

KW - Spatial chaos

UR - http://www.scopus.com/inward/record.url?scp=0346707522&partnerID=8YFLogxK

U2 - 10.1007/BF03167451

DO - 10.1007/BF03167451

M3 - 期刊論文

AN - SCOPUS:0346707522

SN - 0916-7005

VL - 19

SP - 143

EP - 161

JO - Japan Journal of Industrial and Applied Mathematics

JF - Japan Journal of Industrial and Applied Mathematics

IS - 1

ER -

Spatial Disorder of Cellular Neural Networks

摘要

存取文件

指紋

引用此