Existence of periodic solutions for a system of delay differential equations

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27946

Title:	Existence of periodic solutions for a system of delay differential equations
Authors:	Hsu,CH;Yang,SY;Yang,TH;Yang,TS
Contributors:	數學研究所
Keywords:	ANALOG NEURAL NETWORKS;STABILITY;DYNAMICS;NEURONS;MODEL
Date:	2009
Issue Date:	2010-06-29 19:38:37 (UTC+8)
Publisher:	中央大學
Abstract:	In this paper we mainly study the existence of periodic solutions for a system of delay differential equations representing a simple two-neuron network model of Hopfield type with time-delayed connections between the neurons. We first examine the local stability of the trivial solution, propose some sufficient conditions for the uniqueness of equilibria and then apply the Poincare-Bendixson theorem for monotone cyclic feedback delayed systems to establish the existence of periodic solutions. In addition, a sufficient condition that ensures the trivial solution to be globally exponentially stable is also given. Numerical examples are provided to support the theoretical analysis. (C) 2009 Elsevier Ltd. All rights reserved.
Relation:	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

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