Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
408043 | Neurocomputing | 2011 | 11 Pages |
Abstract
In this paper, a six-neuron BAM neural network model with discrete delays is considered. Using the global Hopf bifurcation theorem for FDE due to Wu [Symmetric functional differential equations and neural networks with memory, Trans. Am. Math. Soc. 350 (1998) 4799–4838] and the Bendixson's criterion for high-dimensional ODE due to Li and Muldowney [On Bendixson' criterion, J. Differential Equations 106 (1994) 27–39], a set of sufficient conditions for the system to have multiple periodic solutions are derived when the sum of delays is sufficiently large.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Changjin Xu, Xiaofei He, Peiluan Li,