Existence and attractivity of periodic solutions to non-autonomous Cohen-Grossberg neural networks with time delays

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27945

Title:	Existence and attractivity of periodic solutions to non-autonomous Cohen-Grossberg neural networks with time delays
Authors:	Li,CH;Yang,SY
Contributors:	數學研究所
Keywords:	GLOBAL EXPONENTIAL STABILITY;HARMLESS DELAYS;ASYMPTOTIC STABILITY;DYNAMIC-ANALYSIS;MULTIPLE DELAYS
Date:	2009
Issue Date:	2010-06-29 19:38:36 (UTC+8)
Publisher:	中央大學
Abstract:	In this paper, we investigate the existence and attractivity of periodic solutions to non-autonomous Cohen-Grossberg neural networks with connection time delays for both discrete and distributed cases. By combining the Lyapunov functional method with the contraction mapping principle, we establish several criteria for the existence and global exponential stability of periodic solutions. More interestingly, all the criteria are independent of time delays as well as the delay types, and do not include one another. Several examples with numerical simulations are given to demonstrate the results. (C) 2008 Elsevier Ltd. All rights reserved.
Relation:	CHAOS SOLITONS & FRACTALS
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

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