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Bifurcation of a Cohen-Grossberg neural network with discrete delays. (English) Zbl 1238.34075
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:
34C23Bifurcation (ODE)
92B20General theory of neural networks (mathematical biology)
37N35Dynamical systems in control