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| The Effect of Clone Template Parameters on the Spreading Speeds in CNNs |
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| KeyWord:Sign of spreading speeds, continuity, CNNs |
| Author Name | Affiliation | | Jinfeng Gu | Department of Mathematics, Shanghai Normal University, Shanghai, 200233, China | | Jingdan Fu | Department of Mathematics, Shanghai Normal University, Shanghai, 200233, China | | Zhixian Yu | Department of Mathematics, Shanghai Normal University, Shanghai, 200233, China | | Qianfang Zhang | Department of Mathematics, Shanghai Normal University, Shanghai, 200233, China |
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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 [{\it European Journal of Applied Mathematics}, {\bf 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. |
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