一阶时滞微分方程欧拉法的动力性

摘要

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.%应用欧拉法研究了一阶时滞微分方程的动力性,验证了随着时滞的增加,正的不动点处出现了一系列霍普夫分支,同时分析了正不动点的稳定性.最后通过数值算例说明了结果的正确性.