一维时滞微分方程的参数分析，固定a < 0

2013 International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering (QR2MSE) Pub Date : 2013-07-15 DOI:10.1109/QR2MSE.2013.6626001

Ai-kun Gao

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引用次数: 0

摘要

本文讨论了一维时滞微分方程的特征方程。利用τ-D分解，给出了一维时滞微分方程零解的Hopf分岔图。根据特征方程根的划分，可以确定(τ， a, b)参数空间中平衡曲线和Hopf分岔曲线的稳定域。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Notice of RetractionParameter analysis of one dimensional differential equation with delay by fixed a < 0

In this paper, we discuss the characteristic equation of one dimensional delay differential equation. We provide a Hopf bifurcation diagram of the zero solution of the one dimensional delay differentia equation, by using τ-D decomposition. According to the partition of the roots of the characteristic equation, one can determine the stability domain of the equilibrium and Hopf bifurcation curves in the (τ, a, b)-parameter space.

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2013 International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering (QR2MSE)

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