Hopf bifurcation in a single inertial neuron model with a discrete delay

Authors:
Shaowen Li;Shaorong Li
Affiliations:
Department of Mathematics, Southwestern University of Finance and Economics, Chengdu, Sichuan, China;School of Opto-Electronic Information, University of Electronic Science and Technology of China, Chengdu, Sichuan, China
Venue:
ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part I
Year:
2005

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Abstract

In this paper, a single inertial neuron system with distributed delays for the weak kernel is investigated. By applying the frequency domain approach, the existence of bifurcation parameter point is determined. The direction and stability of the bifurcating periodic solutions are determined by the Nyquist criterion and the graphical Hopf bifurcation theorem. Some numerical simulations for justifying the theoretical analysis are also given.