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
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。
Furthermore, we compute the Riemann solution by using a bisection method combined with the phase-plane analysis.
用相平面法分析螺旋线平衡的稳定性，导出解析形式的稳定性条件。
The stability of the helical equilibrium is analyzed with phase plane method, and an analytical criterion of stability is revealed.
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 first one is about how to build the connection between describing function method and phase plane method through limit cycle analysis.
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