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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. [Copyright &y& Elsevier]

In this letter, considering the multiuser detection from a combinatorial optimization viewpoint, we propose a multiuser detector based on the tabu learning method, which applies the concept of tabu search to neural networks for solving optimization problems. The performance of the proposed detector is demonstrated through computer simulations. [Copyright &y& Elsevier]