Article ID Journal Published Year Pages File Type
755897 Communications in Nonlinear Science and Numerical Simulation 2013 22 Pages PDF
Abstract

In this paper, we study the dynamical behaviors of a three-node recurrent neural network model with four discrete time delays. We study several types of bifurcation, and use the method of multiple time scales to derive the normal forms associated with Hopf-zero bifurcation, non-resonant and resonant double Hopf bifurcations. Moreover, bifurcations are classified in two-dimensional parameter space near these critical points, and numerical simulations are presented to demonstrate the applicability of the theoretical results.

► A 3-node recurrent neural network model with multiple time delays is studied. ► Bifurcation and stability analysis associated with Hopf-zero singularity is given. ► A simple method based multiple time scales is used to derive normal forms. ► Numerical simulations are presented to verify the theoretical results.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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