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Zbl 1238.34075
Liu, Qiming; Zheng, Wang
Bifurcation of a Cohen-Grossberg neural network with discrete delays. (English)
[J] Abstr. Appl. Anal. 2012, Article ID 909385, 11 p. (2012). ISSN 1085-3375; ISSN 1687-0409/e

Summary: A simple Cohen-Grossberg neural network with discrete delays is investigated in this paper. The existence of local Hopf bifurcations is first considered by choosing the appropriate bifurcation parameter, and then explicit formulas are given to determine the direction of Hopf bifurcation and stability of the periodic solutions. Moreover, a set of sufficient conditions are given to guarantee the global Hopf bifurcation. Numerical simulations are given to illustrate the obtained results.

MSC 2000:: *34C23 Bifurcation (periodic solutions)
92B20 General theory of neural networks
37N35 Dynamical systems in control

Keywords: ohen-Grossberg neural network; Hopf bifurcations

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