期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 220, 期 1-2, 页码 725-738出版社
ELSEVIER
DOI: 10.1016/j.cam.2007.09.018
关键词
tabu learning; discrete-time; neural networks; stability; Pichfork/Flip/Neimark-Sacker bifurcation
资金
- National Natural Science Foundation of China [60574043, 60373067]
- [2003CB317004]
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. (c) 2007 Elsevier B. V. All rights reserved.
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