Existence of periodic solutions for a system of delay differential equations

Cheng Hsiung Hsu, Suh Yuh Yang, Ting Hui Yang, Tzi Sheng Yang

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)

摘要

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 Poincaré-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.

原文???core.languages.en_GB???
頁(從 - 到)6222-6231
頁數10
期刊Nonlinear Analysis, Theory, Methods and Applications
71
發行號12
DOIs
出版狀態已出版 - 15 12月 2009

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