When the time-map satisfies limit conditionwe prove that the equation has at least one 2π- periodic solution by using the phase-plane analysis methods and Poincare-Bohl fixed point theorem .
设时间映射满足极限条件应用相平面分析方法和Poincaré-Bohl不动点定理证明了方程至少存在一个2π-周期解。
参考来源 - 具有奇异性的Duffing方程周期解的存在性与多解性·2,447,543篇论文数据，部分数据来源于NoteExpress
Furthermore, we compute the Riemann solution by using a bisection method combined with the phase-plane analysis.
进一步地，我们采用二分法与相平面分析结合的方法计算压差方程的数值解。
The first one is about how to build the connection between describing function method and phase plane method through limit cycle analysis.
第一个是关于如何通过极限环分析建立描述函数法与相平面法之间联系；
The second one is about how to enhance the connection between system compensation and phase plane analysis method through introducing PID parameter self-tuning method based on relay.
第二个是关于如何通过介绍继电器型PID参数整定方法，促进系统校正与描述函数分析方法之间联系。
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