Traveling wave solutions for discrete-time model of delayed cellular neural networks

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109301

Title:	Traveling wave solutions for discrete-time model of delayed cellular neural networks
Authors:	許正雄;HSU, CHENG-HSIUNG;LIN, JIAN-JHONG
Contributors:	理學院數學系
Keywords:	Cellular;Cellular communication;Dynamics;Lattices;Mathematical analysis;Mathematical models;Neural networks;Stability;Traveling waves
Date:	2013-01-01
Issue Date:	2026-04-23 16:25:10 (UTC+8)
Publisher:	World Scientific Publishing Co. Pte Ltd;Singapore: World Scientific Publishing Company
Abstract:	摘要： The aim of this work is to study the existence and stability of traveling wave solutions for discrete-time model of delayed cellular neural networks distributed in the one-dimensional integer lattice ℤ1. Since the dynamics of each given cell depends on its left and right neighboring cells, it is not easy to construct the traveling wave solutions. Using the method of step along with positive characteristic roots of the equations, we successfully prove the existence of traveling wave solutions. Moreover, we show that all the traveling wave solutions are unstable. We also provide some numerical results to support our results, and point out the different structures of traveling wave solutions between the continuous-time and discrete-time models. 出版者： Singapore: World Scientific Publishing Company 出版日期： 2013-06 出處： International journal of bifurcation and chaos in applied sciences and engineering, 2013-06, Vol.23 (6), p.1350107-1350118 版權： 2013, World Scientific Publishing Company 版權： 2013. World Scientific Publishing Company 識別號： ISSN: 0218-1274 識別號： EISSN: 1793-6551 識別號： DOI: 10.1142/S0218127413501071
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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