广东工业大学学报2018，Vol.35Issue(1)：46-49,4.DOI:10.12052/gdutxb.170098
一阶时滞微分方程欧拉法的动力性
Dynamics of Euler Method for the First Order Delay Differential Equation
摘要
Abstract
The dynamics of the first order delay differential equation is studied by applying an Euler method. It is showed that a sequence of Hopf bifurcations occur at the positive fixed point as the delay increases. Meanwhile, the stability of the fixed point is analyzed. At last, some numerical experiments are given to verify the correctness of the result.关键词
欧拉法/一阶时滞微分方程/霍普夫分支/稳定性Key words
Euler method/the first order delay differential equation/Hopf bifurcations/stability分类
数理科学引用本文复制引用
庄小兰,王琦..一阶时滞微分方程欧拉法的动力性[J].广东工业大学学报,2018,35(1):46-49,4.基金项目
广东省自然科学基金资助项目(2017A030313031) （2017A030313031）
