Entire solutions of nonlinear cellular neural networks with distributed time delays

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109190

Title:	Entire solutions of nonlinear cellular neural networks with distributed time delays
Authors:	許正雄;Wu, Shi-Liang;Hsu, Cheng-Hsiung
Contributors:	理學院數學系
Keywords:	Cellular;distributed time delays;entire solution;Exact sciences and technology;Global analysis, analysis on manifolds;Mathematical methods in physics;Mathematical models;Mathematics;Neural networks;nonlinear cellular neural network;Nonlinearity;Other topics in mathematical methods in physics;Physics;Sciences and techniques of general use;Time delay;Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds;travelling front
Date:	2012-09-01
Issue Date:	2026-04-23 16:14:31 (UTC+8)
Publisher:	IOP Publishing Ltd.;Bristol: IOP Publishing
Abstract:	摘要： The aim of this work is to study the existence of entire solutions of nonlinear cellular neural networks with distributed time delays (DCNN). The entire solutions are defined in the whole space and for all time . From Yu et al (2011 J. Diff. Eqns 251 630-50), we know that the DCNN model admits travelling front solutions. Combining the travelling front solutions with different wave speeds and a spatially independent solution of the DCNN model, we establish some new entire solutions to describe the interactions of travelling fronts. Various qualitative features of the entire solutions are also investigated in this work. 其他題名： Non 其他題名： Nonlinearity 出版者： Bristol: IOP Publishing 出版日期： 2012-09-01 出處： Nonlinearity, 2012-09, Vol.25 (9), p.2785-2801 資源來源： Institute of Physics Journals 版權： 2012 IOP Publishing Ltd & London Mathematical Society 版權： 2015 INIST-CNRS 識別號： ISSN: 0951-7715 識別號： EISSN: 1361-6544 識別號： DOI: 10.1088/0951-7715/25/9/2785 識別號： CODEN: NONLE5
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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