Hopf bifurcation for neutral-type neural network model with two delays

Xiaocai Zeng, Zuoliang Xiong and Changjian Wang

Applied Mathematics and Computation, 2016, vol. 282, issue C, 17-31

Abstract: In this paper, the dynamics of a neutral neural network model with two delays is investigated. The condition to ensure the stability of the zero solution of the system is decided by choosing τ1 and τ2 as parameters, respectively. Then the Hopf bifurcation is discussed by using the center manifold theory and normal form method introduced by Hassard and Kazarinoff. Global existence of periodic solution is studied by using the global Hopf bifurcation theory. Finally, some numerical simulations are carried out to illustrate the analytical results.

Keywords: Neutral neural network model; Hopf bifurcation; Center manifold; Normal form (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:282:y:2016:i:c:p:17-31

DOI: 10.1016/j.amc.2016.01.050

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