Mackey-Glass系统欧拉法的动力性  

Dynamics of Euler method for Mackey-Glass system

作　　者：庄小兰 王琦[1] 

机构地区：[1]广东工业大学应用数学学院,广东广州510540

出　　处：《佛山科学技术学院学报（自然科学版）》2017年第6期6-11,共6页Journal of Foshan University(Natural Science Edition)

摘　　要：应用欧拉法研究了Mackey-Glass系统的动力性。证明了随着延迟的增加,正的不动点处将出现一系列霍普夫分支,进而分析了不动点的稳定性,最后,通过数值实验验证了理论结果的正确性。In this article, we study the dynamics of Mackey-Glass system applied in Euler method. We show a sequence of Hopf bifurcations occur at the positive fixed point as the delay increasing. And we analyze the stability of the fixed point. At last, by giving some numerical experiments verify the correctness of Euler method.

关 键 词：Mackey-Glass系统 欧拉法 霍普夫分支 稳定性 

分 类 号：O29[理学—应用数学]