Stability and Hopf bifurcation of an n-neuron annular neural network with time-delay

@article{Wang2016StabilityAH,
  title={Stability and Hopf bifurcation of an n-neuron annular neural network with time-delay},
  author={Yan Wang and Zunshui Cheng and Tianshun Wang},
  journal={2016 Chinese Control and Decision Conference (CCDC)},
  year={2016},
  pages={1264-1268}
}
It is well known that nonlinear dynamical systems with high dimensional are relatively complex to study. In this paper, the dynamics of an n-neuron annular neural network with time-delay are investigated. Through analyzing the associated characteristic equation, we obtained the local stability at the equilibrium, and then show the conditions when the proposed system lose its stability so that the Hopf bifurcation occurs. Finally, we give some numerical simulations to justify the obtained… CONTINUE READING