Abstract
A system of n-units neural network with coupled cells is investigated, the local stability of null solution is considered, and the parameter values of the periodic solution bifurcation are given.
This research is supported by the National Natural Science Foundation of China (No.10161007) and the Science Foundation of Education Department of Yunnan, China.
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References
Bélair, J.: Stability in a Model of a Delayed Neural Network. J. of Dynamics and Differential Equations 5, 607–623 (1993)
Burton, T.A.: Averaged Neural Networks. Neural Network 6, 677–680 (1993)
Gopalsamy, K., He, X.: Stability in Asymmetric Hopfield Net with Transmission Delays. Phys. D 76, 344–358 (1994)
Hale, J.K., Lunel, S.V.: Introduction to Functional Differential Equations. Applied Mathematical Sciences, vol. 99. Springer, Heidelberg (1993)
Hopfield, J.J.: Neurons with Graded Response Have Collective Computational Properties like Those of Tow-State Neurons. In: Proc. Natl. Acad. Sci., vol. 81, pp. 3088–3092 (1984)
Marcus, C.M., Westervelt, R.M.: Stability of analog neural networks with delay. Phys. Rev. A 39, 347–359 (1989)
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Lin, Y., Liu, Z. (2004). Local Stability and Bifurcation in a Model of Delayed Neural Network. In: Yin, FL., Wang, J., Guo, C. (eds) Advances in Neural Networks – ISNN 2004. ISNN 2004. Lecture Notes in Computer Science, vol 3173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28647-9_12
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DOI: https://doi.org/10.1007/978-3-540-28647-9_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22841-7
Online ISBN: 978-3-540-28647-9
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