Global Hopf-bifurcation in a neural netlet

K. GOPALSAMY, Kui Chiu Issic LEUNG, Pingzhou LIU

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Abstract

Sufficient conditions are obtained for the global Hopf-bifurcation of periodic solutions in the dynamics of a neural netlet of activation and inhibition with continuously distributed delays. The orbital asymptotic stability of the bifurcating periodic solutions is investigated. The results are illustrated with numerical simulations. A few problems are formulated in the form of conjectures. Copyright © 1998 Published by Elsevier Inc.
Original languageEnglish
Pages (from-to)171-192
JournalApplied Mathematics and Computation
Volume94
Issue number2
DOIs
Publication statusPublished - 15 Aug 1998

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Citation

Gopalsamy, K., Leung, I. K. C., & Liu, P. (1998). Global Hopf-bifurcation in a neural netlet. Applied Mathematics and Computation, 94(2-3), 171-192. doi: 10.1016/S0096-3003(97)10087-X

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