Existence and stability of traveling wave solutions for multilayer cellular neural networks

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109199

Title:	Existence and stability of traveling wave solutions for multilayer cellular neural networks
Authors:	許正雄;Hsu, Cheng-Hsiung;Lin, Jian-Jhong;Yang, Tzi-Sheng
Contributors:	理學院數學系
Keywords:	Asymptotic properties;Cauchy problem;Cellular;Engineering;Mathematical Methods in Physics;Mathematical models;Multilayers;Neural networks;Stability;Theoretical and Applied Mechanics;Traveling waves
Date:	2015-08-10
Issue Date:	2026-04-23 16:14:55 (UTC+8)
Publisher:	Birkhauser Verlag Basel;Basel: Springer Basel
Abstract:	摘要： The purpose of this article is to investigate the existence and stability of traveling wave solutions for one-dimensional multilayer cellular neural networks. We first establish the existence of traveling wave solutions using the truncated technique. Then we study the asymptotic behaviors of solutions for the Cauchy problem of the neural model. Applying two kinds of comparison principles and the weighed energy method, we show that all solutions of the Cauchy problem converge exponentially to the traveling wave solutions provided that the initial data belong to a suitable weighted space. 其他題名： Z. Angew. Math. Phys 出版者： Basel: Springer Basel 出版日期： 2015-08-01 出處： Zeitschrift für angewandte Mathematik und Physik, 2015-08, Vol.66 (4), p.1355-1373 資源來源： SpringerLink Journals 版權： Springer Basel 2014 識別號： ISSN: 0044-2275 識別號： EISSN: 1420-9039 識別號： DOI: 10.1007/s00033-014-0480-z
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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