具有扩散项的环状神经网络同步态分岔与稳定性

Synchronized Bifurcation and Stability Analysis of A Class of Reaction-diffusion Ring Neural Networks

讨论了一类具有漏泄时滞的反应扩散环状神经网络的同步态Hopf分岔和稳定性问题.以连接权值β作为分岔参数,利用分岔和稳定性理论,给出了此类反应扩散系统同步态Hopf分岔和稳定性条件.同时,还给出了不含扩散项时系统发生Hopf分岔的条件.数值举例验证了理论分析的正确性.

The paper deals with the synchronized Hopf bifurcation and stability of a class of reaction- diffusion ring neural networks with leakage time-lags. Determining fl as the bifurcation parameter, based on bifurcation and stability theory, give some criteria for synchronized Hopf bifurcation and stability of this system. Also give the conditions of Hopf bifurcation for the corresponding system without reaction-diffusion. Numerical simulations are given to validate the theoretical analysis.