Analysis on equilibrium points of cells in cellular neural networks described using cloning templates

Authors:
Qi Han;Xiaofeng Liao;Tengfei Weng;Chuandong Li;Hongyu Huang
Affiliations:
State Key Lab. of Power Transmission Equipment and System Security, College of Computer Science, Chongqing University, Chongqing 400030, China;State Key Lab. of Power Transmission Equipment and System Security, College of Computer Science, Chongqing University, Chongqing 400030, China;State Key Lab. of Power Transmission Equipment and System Security, College of Computer Science, Chongqing University, Chongqing 400030, China;State Key Lab. of Power Transmission Equipment and System Security, College of Computer Science, Chongqing University, Chongqing 400030, China;State Key Lab. of Power Transmission Equipment and System Security, College of Computer Science, Chongqing University, Chongqing 400030, China
Venue:
Neurocomputing
Year:
2012

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Abstract

In the paper, the region of the number of equilibrium points of a cell in cellular neural networks is considered by the relationship between parameters of cellular neural networks. The number of equilibrium points can be obtained by our results, and we also find that the values of connection weights of CNNs have an influence on the number of equilibrium points for a cell. A design procedure of parameters of cellular neural networks is given. Finally, some numerical simulations are presented to support the effectiveness of the theoretical analysis.