Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636972 | Applied Mathematics and Computation | 2006 | 12 Pages |
Abstract
This paper investigates a discrete-time Cohen–Grossberg neural network model. Some sufficient criteria ensuring the asymptotic stability of the equilibrium point for this model are derived. Moreover, by choosing the appropriate bifurcation parameter, we prove that Neimark–Sacker bifurcation occurs when the bifurcation parameter exceeds a critical value. We determine the direction and stability of bifurcation by applying the normal form theory and the center manifold theorem. Some numerical simulations for justifying the theoretical analysis are also given.
Keywords
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Hongyong Zhao, Lei Wang,