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

Document Type : Research Article

Authors

• E. Javidmanesh
• Z. Afsharnezhad

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

10.22067/ijnao.v3i2.24066

Abstract

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.

Keywords

• Neural Network
• Hopf bifurcation
• Characteristic equation
• Time delay

20.1001.1.24236977.2013.3.2.1.4

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