Abstract:In this paper, a neural network with strong kernel and continuously time delay is mainly investigated. A switch from stability to instability may occur for certain range of the parameters arid must then be followed by a switch back to stability. Bifurcation phenomena of this model are also investigated. Using the mean time delays as a bifurcation parameter, authors have proven that Hopf bifurcation parameter passes through a critical value. Some computer simulations illustrate correctness of the results.
廖晓峰; 吴中福; 王康; 虞厥邦. 带分布时延神经网络:从稳定到振荡再到稳定的动力学现象[J]. 电子与信息学报, 2001, 23(7): 687-692 .
Liao Xiaoteng①; Wu Zhongfu①; Wang Kang①; Yu Juebang②. A SWITCH FROM STABILITY TO OSCILLATION BACK TO STABILITY FOR NEURAL NETWORK WITH DISTRIBUTED DELAY. , 2001, 23(7): 687-692 .