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Bifurcation analysis on a discrete-time tabu learning model. (English) Zbl 1152.68048

Summary: We consider a discrete-time tabu learning single neuron model. After investigating the stability of the given system, we demonstrate that Pichfork bifurcation, Flip bifurcation and Neimark-Sacker bifurcation will occur when the bifurcation parameter exceed a critical value, respectively. A formula is given for determining the direction and stability of Neimark-Sacker bifurcation by applying the normal form theory and the center manifold theorem. Some Numerical simulations for justifying the theoretical results are also provided.

MSC:

68T05 Learning and adaptive systems in artificial intelligence
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