Dynamical Behavior in a Four-Dimensional Neural Network Model with Delay | Zendy

Changjin Xu | Zendy; Peiluan Li | Zendy

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Dynamical Behavior in a Four-Dimensional Neural Network Model with Delay

Author(s) -

Changjin Xu,

Peiluan Li

Publication year - 2012

Publication title -

advances in artificial neural systems

Language(s) - English

Resource type - Journals

eISSN - 1687-7608

pISSN - 1687-7594

DOI - 10.1155/2012/397146

Subject(s) - center manifold , hopf bifurcation , delay differential equation , mathematics , argument (complex analysis) , artificial neural network , bifurcation , differential equation , bifurcation diagram , biological applications of bifurcation theory , stability (learning theory) , saddle node bifurcation , computer science , mathematical analysis , nonlinear system , physics , artificial intelligence , biochemistry , chemistry , quantum mechanics , machine learning

A four-dimensional neural network model with delay is investigated. With the helpof the theory of delay differential equation and Hopf bifurcation, the conditions of the equilibriumundergoing Hopf bifurcation are worked out by choosing the delay as parameter. Applying thenormal form theory and the center manifold argument, we derive the explicit formulae fordetermining the properties of the bifurcating periodic solutions. Numerical simulations areperformed to illustrate the analytical results

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