Existence and stability analysis of bifurcating periodic solutions in a delayed five-neuron BAM neural network model |
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Authors: | Elham Javidmanesh Zahra Afsharnezhad Sohrab Effati |
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Affiliation: | 1. Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
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Abstract: | In this paper, a bidirectional associative memory (BAM) neural network model, which consists of two neurons in the X-layer and three neurons in the Y-layer, with two time delays, will be considered. By analyzing the associated characteristic equation, we obtain that Hopf bifurcation occurs and a family of periodic solutions appears. Moreover, the stability and the period of the bifurcating periodic solutions are studied. To illustrate our theoretical results, numerical simulations are presented. |
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