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LINEAR STABILITY AND HOPF BIFURCATION IN A TWO-NEURON NETWORK WITH THREE DELAYS

SHANGJIANG GUO

College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, 410082, P. R. China

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LIHONG HUANG

College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, 410082, P. R. China

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, and

LIN WANG

Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NF, A1C 5S7, Canada

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https://doi.org/10.1142/S0218127404011016Cited by:53 (Source: Crossref)

Abstract

Linear stability and Hopf bifurcation in a two-neuron network with three delays (one is due to the self-feedback) are investigated. Based on the normal form approach and the center manifold theory, we derive the formula to determine the direction and stability of Hopf bifurcation.

Keywords:

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