NUMERICAL HOPF BIFURCATION OF DELAY-DIFFERENTIAL EQUATIONS

• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 年，卷（期）: 2006,（3）
• 页码范围: 436-441
• 页数: 6页
• 分类号: O17

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).