一类三阶时滞微分系统的稳定性与Hopf分支研究(英文)  

Stability and Hopf Bifurcation Analysis on a Differential Delay System

作　　者：唐长兵[1] 管俊彪[2] 沈绍伟[3] 

机构地区：[1]浙江树人大学基础部,浙江杭州310015 [2]上海大学数学系,上海200436 [3]浙江工商大学统计与数学学院,浙江杭州310018

出　　处：《生物数学学报》2007年第4期620-628,共9页Journal of Biomathematics

摘　　要：给出了一类三阶时滞微分系统的局部稳定性判断.并由规范型理论及中心流型定理推导出诸如方向,稳定性及周期等分支性质.最后由具体例子模拟来验证计算的正确性.A special 3-dimensional differential delay system is considered. By analyzing the associated characteristic equation, its local linear stability is investigated and Hopf bifurcation is obtained. An example which gives nuinerical simulation result is used to support the theoretical predictions.

关 键 词：时滞微分系统 HOPF分支 稳定性 

分 类 号：O175.1[理学—数学]