摘要
研究一类简化的时滞半导体激光方程的稳定性和Hopf分岔.以时滞量为参数,分析系统线性化方程零解的稳定性,给出系统产生Hopf分岔临界时滞表达式,最后用数值模拟对结论进行验证.
A kind of oscillator semiconductor laser model with time delay is considered. Taking the time delay as a bifurcation parameter, the linear stability of the equilibrium is investigated. The critical time delay associated with Hopf bifurcation is determined. Finally, numerical simulations are performed to verify the analytical prediction.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第15期110-114,共5页
Mathematics in Practice and Theory
基金
国家科学自然基金(10602020)
关键词
时滞
稳定性
HOPF分岔
time delay
stability
hopf bifurcation
