Stochastic Stability and Bifurcation Analysis on Hopfield Neural Networks with Noise

摘要：

A stochastic differential equation modelling a Hopfield neural network with two neurons is investigated. Its dynamics are studied in terms of local stability analysis and Hopf bifurcation analysis. By analyzing the Lyapunov exponent, invariant measure and singular boundary theory, its nonlinear stability is investigated and Hopf bifurcations are demonstrated. The stability and direction of the Hopf bifurcation are determined from the dynamical and phenomenological points of view.

作者: Xuewen Qin Zaitang Huang Weiming Tan

作者单位: School of Mathematics and Physics, Wuzhou University,Wuzhou 543002, P.R.China

会议类型: 国际会议

会议名称: International Conference on Life System Modeling and Simulation,and International Conference on Intelligent Computing for Sustainable Energy and Environment(2010生命系统建模与仿真国际会议暨m2010可持续能源与环境智能计算国际会议)

会议地点: 无锡

会议语种:英文

页码: 166-179

在线出版日期: 2010-09-17（万方平台首次上网日期，不代表论文的发表时间）