Stability and Bifurcation of a Class of Discrete-Time Cohen-Grossberg Neural Networks with Delays

Qiming Liu, Rui Xu and Zhiping Wang

Discrete Dynamics in Nature and Society, 2011, vol. 2011, 1-14

Abstract:

A class of discrete-time Cohen-Grossberg neural networks with delays is investigated in this paper. By analyzing the corresponding characteristic equations, the asymptotical stability of the null solution and the existence of Neimark-Sacker bifurcations are discussed. By applying the normal form theory and the center manifold theorem, the direction of the Neimark-Sacker bifurcation and the stability of bifurcating periodic solutions are obtained. Numerical simulations are given to illustrate the obtained results.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:403873

DOI: 10.1155/2011/403873

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