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Volume 5, Issue 3
The Effect of Clone Template Parameters on the Spreading Speeds in CNNs

Jinfeng Gu, Jingdan Fu, Zhixian Yu & Qianfang Zhang

DOI: 10.12150/jnma.2023.648

J. Nonl. Mod. Anal., 5 (2023), pp. 648-666.

Published online: 2023-08

[An open-access article; the PDF is free to any online user.]

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  • Abstract

The aim of this paper is to investigate the effect of clone template parameters on the spreading speeds in cellular neural networks(CNNs). According to the property analysis of spreading speeds of monotone semiflows developed by Yu and Zhang [European Journal of Applied Mathematics, 31 (2020), 369-384], we investigate the sign of spreading speeds, continuity and limit cases with no propagation phenomena for CNNs with general output functions where each cell interacts with its 2-neighborhood cell.

  • Keywords

Sign of spreading speeds, continuity, CNNs.

  • AMS Subject Headings

35C07, 34A33, 94C99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-5-648, author = {Gu , JinfengFu , JingdanYu , Zhixian and Zhang , Qianfang}, title = {The Effect of Clone Template Parameters on the Spreading Speeds in CNNs}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2023}, volume = {5}, number = {3}, pages = {648--666}, abstract = {

The aim of this paper is to investigate the effect of clone template parameters on the spreading speeds in cellular neural networks(CNNs). According to the property analysis of spreading speeds of monotone semiflows developed by Yu and Zhang [European Journal of Applied Mathematics, 31 (2020), 369-384], we investigate the sign of spreading speeds, continuity and limit cases with no propagation phenomena for CNNs with general output functions where each cell interacts with its 2-neighborhood cell.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2023.648}, url = {http://global-sci.org/intro/article_detail/jnma/21957.html} }
TY - JOUR T1 - The Effect of Clone Template Parameters on the Spreading Speeds in CNNs AU - Gu , Jinfeng AU - Fu , Jingdan AU - Yu , Zhixian AU - Zhang , Qianfang JO - Journal of Nonlinear Modeling and Analysis VL - 3 SP - 648 EP - 666 PY - 2023 DA - 2023/08 SN - 5 DO - http://doi.org/10.12150/jnma.2023.648 UR - https://global-sci.org/intro/article_detail/jnma/21957.html KW - Sign of spreading speeds, continuity, CNNs. AB -

The aim of this paper is to investigate the effect of clone template parameters on the spreading speeds in cellular neural networks(CNNs). According to the property analysis of spreading speeds of monotone semiflows developed by Yu and Zhang [European Journal of Applied Mathematics, 31 (2020), 369-384], we investigate the sign of spreading speeds, continuity and limit cases with no propagation phenomena for CNNs with general output functions where each cell interacts with its 2-neighborhood cell.

Jinfeng Gu, Jingdan Fu, Zhixian Yu & Qianfang Zhang. (2023). The Effect of Clone Template Parameters on the Spreading Speeds in CNNs. Journal of Nonlinear Modeling and Analysis. 5 (3). 648-666. doi:10.12150/jnma.2023.648
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