Hopf bifurcation analysis of a delayed five-neuron BAM neural network with two neurons in the X-layer

Iranian Journal of Numerical Analysis and Optimization

مقاله 2، دوره 3، شماره 2 - شماره پیاپی 4، مهر 2013، صفحه 1-12   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v3i2.24066

نویسندگان

E. Javidmanesh^* ؛ Z. Afsharnezhad

Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.

چکیده

In this paper, a bidirectional associative memory (BAM) neural network, which consists of two neurons in the X-layer and three neurons in the Y-layer, with two time delays will be studied. We conclude that under some assumptions, Hopf bifurcation occurs when the sum of two delays passes through a critical value. A numerical example is presented to support our theoretical results.

کلیدواژه‌ها

Neural Network؛ Hopf bifurcation؛ Characteristic equation؛ Time delay

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