摘要
本文借助中心流形定理详细讨论了一个带时延神经网络的Hopf分岔和周期解的渐近稳定性,给出了确定周期解的渐近稳定性。分岔方向、周期和解的渐近形式的一个算法,并进行了计算机仿真实验,仿真实验表明了所讨论的结果的有效性与正确性。
In this paper, Hopf bifurcation of a neural network with time delay is discussed in detail. The stability of periodic solutions is also studied by utilizing center manifold theorem. Algorithms for determining the asymptotic stability, direction of bifurcation, period, and asymptotic form of these solutions are presented. All of the theoretical analyses are testified by computer simulations.
基金
中国博士后基金
关键词
带时延神经网络
Hopf分岔现象
周期解
中心流形
Neural network with time delay, Hopf bifurcation, Asymptotic stability of periodic solutions, Center manifold
