References

STABILITY AND BIFURCATION ANALYSIS IN A CLASS OF TWO-NEURON NETWORKS WITH DISTRIBUTED DELAYS


[1] J. D. Cao and D. M. Zhou, Stability analysis of delayed cellular neural networks, Neural Networks 11 (1998), 1601-1605.

[2] S. A. Compell, S. G. Ruan and J. J. Wei, Qualitative analysis of a neural network model with multiple time delays, Int. J. Bifur. Chaos 9 (1999), 1585-1595.

[3] K. Cooke and Z. Grossman, Discrete delay, distributed delayed and stability switches, J. Math. Anal. Appl. 86 (1982), 592-627.

[4] K. Gopalsmay and L. K. C. Leung, Convergence under dynamical thresholds with delays, IEEE Trans. Neural Networks 8 (1994), 341-348.

[5] S. J. Guo and L. H. Huang, Linear stability and Hopf bifurcation in a two-neuron network with three delays, Int. J. Bifur. Chaos 8 (2004), 2799-2810.

[6] B. Hassard, D. Kazarino and Y. Wan, Theory and Applications of Hopf Bifurcation, Cambridge University Press, Cambridge, 1981.

[7] J. J. Hopfield, Neural networks and physical systems with emergent collective computational abilities, Proc. Natl. Acad. Sci. USA 79 (1982), 2554-2558.

[8] J. J. Hopfield, Neurons with graded response have collective computational properties like those of two-state neurons, Proc. Natl. Acad. Sci. USA 81 (1984), 3088-3092.

[9] C. X. Huang, Y. G. He, L. H. Huang and Z. H. Yuan, Hopf bifurcation analysis of two neurons with three delays, Nonlinear Anal.: Real World Appl. 8 (2007), 903-921.

[10] X. F. Liao and G. R. Chen, Local stability, Hopf and resonant codimension-two bifurcation in a harmonic oscillator with two time delays, Int. J. Bifur. Chaos 11 (2001), 2105-2121.

[11] X. F. Liao, K. W. Wong and Z. Wu, Bifurcations analysis in a two-neuron system with continuously distributed delays, Physica D 149 (2001), 123-141.

[12] S. G. Ruan and J. J. Wei, On the zero of some transcendential functions with applications to stability of delay differential equations with two delays, Dyn. Contin. Discrete Impuls. Syst. Ser. A 10 (2003), 863-874.

[13] S. G. Ruan and R. Fillfil, Dynamics of a two-neuron system with discrete and distributed delays, Physica D 191 (2004), 323-342.

[14] C. B. Tang, Hopf bifurcation of a two-neuron model with distribute delays, J. Qufu Norm. Univ. 33 (2007), 54-58.

[15] J. J. Wei and S. G. Ruan, Stability and bifurcation in a neural network model with two delays, Physica D 130 (1999), 255-272.

[16] J. H. Wu, Introduction to Neural Dynamics and Signal Transmission Delay, Walter de Cruyter, Berlin, 2001.

[17] X. F. Yang, M. B. Yang, H. Y. Liu and X. F. Liao, Batin bifurcation in a class of two-neuron networks with resonant bilinear terms, Chaos, Solitons and Fractals 38 (2008), 575-589.

[18] S. F. Zou, L. H. Huang and Y. M. Chen, Linear stability and Hopf bifurcation in a three-unit neural network with two delays, Neurocomputing 70 (2006), 219-228.