Stability and Hopf Bifurcation of ann-Neuron Cohen-Grossberg Neural Network with Time Delays | Zendy

Qiming Liu | Zendy; Sumin Yang | Zendy

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Stability and Hopf Bifurcation of ann-Neuron Cohen-Grossberg Neural Network with Time Delays

Author(s) -

Qiming Liu,

Sumin Yang

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/468584

Subject(s) - center manifold , hopf bifurcation , mathematics , stability (learning theory) , artificial neural network , saddle node bifurcation , bifurcation diagram , bifurcation , pitchfork bifurcation , mathematical analysis , transcritical bifurcation , biological applications of bifurcation theory , control theory (sociology) , nonlinear system , computer science , physics , artificial intelligence , quantum mechanics , machine learning , control (management)

A Cohen-Grossberg neural network with discrete delays is investigated in this paper. Sufficient conditions for the existence of local Hopf bifurcation are obtained by analyzing the distribution of roots of characteristic equation. Moreover, the direction and stability of Hopf bifurcation are obtained by applying the normal form theory and the center manifold theorem. Numerical simulations are given to illustrate the obtained results

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