Synergetic System Analysis for the Delay-Induced Hopf Bifurcation in the Wright Equation
Synergetic System Analysis for the Delay-Induced Hopf Bifurcation in the Wright Equation
复制标题
赖特方程中延迟引起的 Hopf 分岔的协同系统分析
DOI：
10.1137/s1111111102412802
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
A. Pelster
中科院分区：
文献类型：
--
作者：
M. Schanz;A. Pelster
对接近动态不稳定性的非线性时滞系统的稳定模应用了协同消去法，导出了Wright方程中时滞诱导Hopf分岔的正规形式。通过数值模拟验证了周期轨道的正确性。
We apply the synergetic elimination procedure for the stable modes in nonlinear delay systems close to a dynamical instability and derive the normal form for the delay-induced Hopf bifurcation in the Wright equation. The resulting periodic orbit is confirmed by numerical simulations.