Hopf bifurcation analysis of a neutral neural network model. (Chinese. English summary) Zbl 1449.34299
Summary: In this paper, using Lyapunov-Schmidt reduction method and singularity theory, the dynamic behavior of a neutral neural network model is studied. It is proved that Hopf bifurcation occurs at the equilibrium point of the original equation, and the approximate analytical expression of the periodic solution of the bifurcation is obtained, and the error analysis is carried out. Finally, the conclusions obtained in this paper are summarized.
MSC:
| 34K60 | Qualitative investigation and simulation of models involving functional-differential equations |
| 34K18 | Bifurcation theory of functional-differential equations |
| 34K13 | Periodic solutions to functional-differential equations |
| 34K40 | Neutral functional-differential equations |
| 92B20 | Neural networks for/in biological studies, artificial life and related topics |
| 34K21 | Stationary solutions of functional-differential equations |
| 34K20 | Stability theory of functional-differential equations |
