Cellular neural networks: Space-dependent template, mosaic patterns and spatial chaos

Jonq Juang; Shih Feng Shieh; Larry Turyn

doi:10.1142/S0218127402005510

Cellular neural networks: Space-dependent template, mosaic patterns and spatial chaos

Jonq Juang^*
, Shih Feng Shieh
, Larry Turyn

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

3 引文斯高帕斯（Scopus）

摘要

We consider a Cellular Neural Network (CNN) with a bias term in the integer lattice ℤ² on the plane ℤ². We impose a space-dependent coupling (template) appropriate for CNN in the hexagonal lattice on ℤ². Stable mosaic patterns of such CNN are completely characterized. The spatial entropy of a (p1, p2)-translation invariant set is proved to be well-defined and exists. Using such a theorem, we are also able to address the complexities of resulting mosaic patterns.

原文	英語
頁（從 - 到）	1717-1730
頁數	14
期刊	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
卷	12
發行號	8
DOIs	https://doi.org/10.1142/S0218127402005510
出版狀態	已發佈 - 2002 8月
對外發佈	是

ASJC Scopus subject areas

建模與模擬
工程（雜項）
多學科
應用數學

存取文件

10.1142/S0218127402005510

其它文件與鏈接

引用此

@article{7c806448f3c24462a69b62430a961497,

title = "Cellular neural networks: Space-dependent template, mosaic patterns and spatial chaos",

abstract = "We consider a Cellular Neural Network (CNN) with a bias term in the integer lattice ℤ2 on the plane ℤ2. We impose a space-dependent coupling (template) appropriate for CNN in the hexagonal lattice on ℤ2. Stable mosaic patterns of such CNN are completely characterized. The spatial entropy of a (p1, p2)-translation invariant set is proved to be well-defined and exists. Using such a theorem, we are also able to address the complexities of resulting mosaic patterns.",

keywords = "Cellular Neural Networks, Space-dependent template, Spatial chaos",

author = "Jonq Juang and Shieh, \{Shih Feng\} and Larry Turyn",

year = "2002",

month = aug,

doi = "10.1142/S0218127402005510",

language = "English",

volume = "12",

pages = "1717--1730",

journal = "International Journal of Bifurcation and Chaos in Applied Sciences and Engineering",

issn = "0218-1274",

publisher = "World Scientific",

number = "8",

}

TY - JOUR

T1 - Cellular neural networks

T2 - Space-dependent template, mosaic patterns and spatial chaos

AU - Juang, Jonq

AU - Shieh, Shih Feng

AU - Turyn, Larry

PY - 2002/8

Y1 - 2002/8

N2 - We consider a Cellular Neural Network (CNN) with a bias term in the integer lattice ℤ2 on the plane ℤ2. We impose a space-dependent coupling (template) appropriate for CNN in the hexagonal lattice on ℤ2. Stable mosaic patterns of such CNN are completely characterized. The spatial entropy of a (p1, p2)-translation invariant set is proved to be well-defined and exists. Using such a theorem, we are also able to address the complexities of resulting mosaic patterns.

AB - We consider a Cellular Neural Network (CNN) with a bias term in the integer lattice ℤ2 on the plane ℤ2. We impose a space-dependent coupling (template) appropriate for CNN in the hexagonal lattice on ℤ2. Stable mosaic patterns of such CNN are completely characterized. The spatial entropy of a (p1, p2)-translation invariant set is proved to be well-defined and exists. Using such a theorem, we are also able to address the complexities of resulting mosaic patterns.

KW - Cellular Neural Networks

KW - Space-dependent template

KW - Spatial chaos

UR - https://www.scopus.com/pages/publications/0036695938

UR - https://www.scopus.com/pages/publications/0036695938#tab=citedBy

U2 - 10.1142/S0218127402005510

DO - 10.1142/S0218127402005510

M3 - Article

AN - SCOPUS:0036695938

SN - 0218-1274

VL - 12

SP - 1717

EP - 1730

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

IS - 8

ER -

Cellular neural networks: Space-dependent template, mosaic patterns and spatial chaos

摘要

ASJC Scopus subject areas

存取文件

其它文件與鏈接

指紋

引用此