Stability and bifurcation analysis of two-neuron network with discrete and distributed delays

作者：Karaoglu Esra; Yilmaz Enes^*; Merdan Huseyin

来源：Neurocomputing, 2016, 182: 102-110.

DOI：10.1016/j.neucom.2015.12.006

• Hopf bifurcation
• Stability
• Neural networks
• Delay differential equations
• Periodic solution

In this paper, we give a detailed Hopf bifurcation analysis of a recurrent neural network system involving both discrete and distributed delays. Choosing the sum of the discrete delay terms as a bifurcation parameter the existence of Hopf bifurcation is demonstrated. In particular, the formulae determining the direction of the bifurcations and the stability of the bifurcating periodic solutions are studied by using the normal form theory and center manifold theorem. Finally, numerical simulations supporting our theoretical results are also included.

• 出版日期2016-3-19