Abstract
Sufficient conditions are obtained for the existence, uniqueness and ability of T-periodic solutions for the Hopfield neural, network equations with delay
Similar content being viewed by others
References
Liao Xiaoxin. On the stability for non-linear continuous neural network system[J].Journal of Huazhong Normal University, 1992,26 (1): 1–4.
Forit M. On global asymptotic stability of a class of nonlinear systems arising in neural network theory[J].Journal of Differential Equation, 1994,113, (2): 246–264.
Li Tiecheng, Wang Duo. On the asymptotic behavior of a class artificial neural network with periodic inputs[J].Appl Math JCU Ser A, 1997,12 (1): 25–28. (in Chinese)
Gaines R E, Mawhin J L. Coincidence degree and nonlinear differential equations[J].Lecture Notes in Math,567, Berlin: Springer-Verlag, 1977.
Wang Lian, Zhao Huaizhong. The stability of nonautonomous detard difference-differential equation[J].Acta Mathematicae Sinica, New Series, 1992,8 (4): 349–356.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Xiankai, H. On the existence and stability of periodic solutions for hopfield neural network equations with delay. Appl Math Mech 20, 1116–1120 (1999). https://doi.org/10.1007/BF02460328
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02460328