Stability and Hopf-Bifurcating Periodic Solution for Delayed Hopfield Neural Networks with n Neuron

Autor:	Haji Mohammad Mohammadinejad, Mohammad Hadi Moslehi
Jazyk:	angličtina
Rok vydání:	2014
Předmět:	Mathematics QA1-939
Zdroj:	Journal of Applied Mathematics, Vol 2014 (2014)
Druh dokumentu:	article
ISSN:	1110-757X 1687-0042
DOI:	10.1155/2014/628637
Popis:	We consider a system of delay differential equations which represents the general model of a Hopfield neural networks type. We construct some new sufficient conditions for local asymptotic stability about the trivial equilibrium based on the connection weights and delays of the neural system. We also investigate the occurrence of an Andronov-Hopf bifurcation about the trivial equilibrium. Finally, the simulating results demonstrate the validity and feasibility of our theoretical results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/7c77a870be9442e3b7a7f2d74539788f Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF