The Effect of Clone Template Parameters on the Spreading Speeds in CNNs

Year:    2023

Author:    Jinfeng Gu, Jingdan Fu, Zhixian Yu, Qianfang Zhang

Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 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.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2023.648

Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 648–666

Published online:    2023-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Sign of spreading speeds continuity CNNs.

Author Details

Jinfeng Gu

Jingdan Fu

Zhixian Yu

Qianfang Zhang