Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8901012 | Applied Mathematics and Computation | 2018 | 18 Pages |
Abstract
In this paper, a class of complex-valued neural network model with discrete and distributed delays is proposed. Regarding the discrete time delay as the bifurcating parameter, the problem of Hopf bifurcation in the newly-proposed complex-valued neural network model is investigated under the assumption that the activation function can be separated into its real and imaginary parts. Based on the normal form theory and center manifold theorem, some sufficient conditions which determine the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are established. Finally, a numerical example is given to illustrate the validity of the theoretical results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Li Li, Zhen Wang, Yuxia Li, Hao Shen, Junwei Lu,