Dynamical Behavior in a Four-Dimensional Neural Network Model with Delay. (28th February 2012)

• Record Type: Journal Article
• Authors: Xu, Changjin; Li, Peiluan
• Other Names: Chen Songcan Academic Editor.
• Is Part Of: Advances in artificial neural systems. (2012)
• Publication Date: 2012-02-28
• Subjects: Neural networks (Computer science) -- Periodicals; Neural networks (Computer science); Periodicals; Electronic journals; 006.32
• DOI: 10.1155/2012/397146
• Languages: English
• ISSNs: 1687-7594

Abstract

Abstract : A four-dimensional neural network model with delay is investigated. With the help of the theory of delay differential equation and Hopf bifurcation, the conditions of the equilibrium undergoing Hopf bifurcation are worked out by choosing the delay as parameter. Applying the normal form theory and the center manifold argument, we derive the explicit formulae for determining the properties of the bifurcating periodic solutions. Numerical simulations are performed to illustrate the analytical results.