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

Qiming Liu | Zendy; Rui Xu | Zendy; Zhiping Wang | Zendy

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

Author(s) -

Qiming Liu,

Rui Xu,

Zhiping Wang

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/403873

Subject(s) - center manifold , bifurcation , mathematics , class (philosophy) , stability (learning theory) , artificial neural network , discrete time and continuous time , manifold (fluid mechanics) , control theory (sociology) , mathematical analysis , computer science , physics , hopf bifurcation , nonlinear system , statistics , artificial intelligence , machine learning , control (management) , quantum mechanics , mechanical engineering , engineering

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

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