Article ID Journal Published Year Pages File Type
4641966 Journal of Computational and Applied Mathematics 2008 14 Pages PDF
Abstract
In this paper, 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.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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