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2014 Stability and Hopf Bifurcation of an n-Neuron Cohen-Grossberg Neural Network with Time Delays
Qiming Liu, Sumin Yang
J. Appl. Math. 2014: 1-10 (2014). DOI: 10.1155/2014/468584

Abstract

A Cohen-Grossberg neural network with discrete delays is investigated in this paper. Sufficient conditions for the existence of local Hopf bifurcation are obtained by analyzing the distribution of roots of characteristic equation. Moreover, the direction and stability of Hopf bifurcation are obtained by applying the normal form theory and the center manifold theorem. Numerical simulations are given to illustrate the obtained results.

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Qiming Liu. Sumin Yang. "Stability and Hopf Bifurcation of an n-Neuron Cohen-Grossberg Neural Network with Time Delays." J. Appl. Math. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/468584

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010643
MathSciNet: MR3178960
Digital Object Identifier: 10.1155/2014/468584

Rights: Copyright © 2014 Hindawi

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