Stability and Hopf Bifurcation in a Simplified BAM Neural Network With Two Time Delays

@article{Cao2007StabilityAH,
  title={Stability and Hopf Bifurcation in a Simplified BAM Neural Network With Two Time Delays},
  author={Jinde Cao and Min Xiao},
  journal={IEEE Transactions on Neural Networks},
  year={2007},
  volume={18},
  pages={416-430}
}
Various local periodic solutions may represent different classes of storage patterns or memory patterns, and arise from the different equilibrium points of neural networks (NNs) by applying Hopf bifurcation technique. In this paper, a bidirectional associative memory NN with four neurons and multiple delays is considered. By applying the normal form theory and the center manifold theorem, analysis of its linear stability and Hopf bifurcation is performed. An algorithm is worked out for… CONTINUE READING

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References

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Showing 1-10 of 37 references

Hopf bifurcation in bidirectional associative memory neural networks with delays: Analysis and computation,

  • L. Wang, X. Zou
  • J. Comput. Appl. Math.,
  • 2004
Highly Influential
6 Excerpts

Theory and Applications of Hopf Bifurcation

  • B. D. Hassard, N. D. Kazarinoff, Y. H. Wan
  • Cambridge, U.K.: Cambridge Univ. Press
  • 1981
Highly Influential
4 Excerpts

Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays

  • M. Han Y. Song, J. Wei
  • Physica D
  • 2005

and J

  • Y. Song, M. Han
  • Wei, “Stability and Hopf bifurcation analysis on…
  • 2005

Bifurcations , stability , and monotonicity properties of a delayed neural network model

  • L. Olien, J. Blair
  • Fields Inst . Commun .
  • 2003

Hopf bifurcating periodic orbits in a ring of neurons with delays,

  • S. Guo, L. Huang
  • Physica D,
  • 2003
2 Excerpts

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