Hopf bifurcation formula for first order differential-delay equations

Hopf bifurcation formula for first order differential-delay equations
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DOI:
10.1016/j.cnsns.2005.08.005
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发表时间:
2007-09
影响因子:
3.9
通讯作者:
R. Rand;A. Verdugo
R. Rand;A. Verdugo
中科院分区:
数学2区
文献类型:
--
作者:
R. Rand;A. Verdugo

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本文给出了一类一阶常系数微分时滞方程在Hopf分支中产生的极限环半径的一个显式公式。推导是使用Lindstedt的摄动法完成的。
This work presents an explicit formula for determining the radius of a limit cycle which is born in a Hopf bifurcation in a class of first order constant coefficient differential-delay equations. The derivation is accomplished using Lindstedt’s perturbation method.