Çankaya University Analysis and Applied Math Seminar Series

Hopf Bifurcation Analysis of an Artificial Neural Network System with Delay
Esra Karaoglu
Universtity of Turkish Aeronautical Association, Turkey
Özet : In this study, we investigate the stability and Hopf bifurcation analysis of a coupled two neuron system involving both discrete and distributed delays. In the presentation, first, we will mention about the relationship between the artificial neural networks and the neurons. Then, we will give the statements of the Hopf bifurcation theorem and analyze the stability of the equilibrium point. Choosing delay term as a bifurcation parameter, we also show that periodic solutions occur under some conditions when the bifurcation parameter passes through a critical value. Finally, numerical examples are provided to support our theoretical results.
  Tarih : 13.04.2018
  Saat : 15:30
  Yer : Department of Mathematics, Cankaya University
  Dil : English
  Web : http://math.cankaya.edu.tr