NUMERICAL HOPF BIFURCATION OF DELAY-DIFFERENTIAL EQUATIONS  

作　　者：Zhang Chunrui (Dept. of Math., Northeast Forestry University, Harbin 150040) Zheng Baodong (Dept. of Math., Harbin Institute of Technology, Harbin 150001) 

出　　处：《Annals of Differential Equations》2006年第3期436-441,共6页微分方程年刊（英文版）

摘　　要：In this paper we consider the numerical solution of some delay differential equations undergoing a Hopf bifurcation. We prove that if the delay differential equations have a Hopf bifurcation point atλ=λ*, then the numerical solution of the equation also has a Hopf bifurcation point atλh =λ* + O(h).In this paper we consider the numerical solution of some delay differential equations undergoing a Hopf bifurcation. We prove that if the delay differential equations have a Hopf bifurcation point atλ=λ*, then the numerical solution of the equation also has a Hopf bifurcation point atλh =λ* + O(h).

关 键 词：delay differential equations Euler-method numerical approximation Hopf bifurcation 

分 类 号：O177.91[理学—数学]