Bifurcation Analysis for Neural Networks in Neutral Form
4 Citations•2016•
Hong-Bing Chen, Xiao-Ke Sun
Int. J. Bifurc. Chaos
It is found that Hopf bifurcation occurs when τ is across some critical values, and the global existence of periodic solution is established by using a global hopf bIfurcation result.
Abstract
In this paper, a system of neural networks in neutral form with time delay is investigated. Further, by introducing delay τ as a bifurcation parameter, it is found that Hopf bifurcation occurs when τ is across some critical values. The direction of the Hopf bifurcations and the stability are determined by using normal form method and center manifold theory. Next, the global existence of periodic solution is established by using a global Hopf bifurcation result. Finally, an example is given to support the theoretical predictions.