The multiple dimension Lindstedt-Poincaré method and IHB method are used to study the nonlinear vibration of axially moving beams.
本文分别采用多元L-P法和增量谐波平衡法（IHB法）研究轴向运动梁的横向非线性振动。
This is what Poincaré and Thurston say about the world of 3-manifolds: there are no manifolds besides those which has been already discovered.
这就是庞加莱和瑟斯顿所说的三维流形：没有除了已发现的之外的任何流形存在。
We studied the asymptotic behavior of solutions to third order Poincaré difference equation whose characteristic equation has multiple roots.
研究了三阶Poincaré差分方程解的渐近性质。这种差分方程对应的常系数线性差分方程的特征方程有重根。
Then on the basis of invariant manifold theory and Poincaré section, a transfer trajetory between L1 and L2 of the Earth-Moon system was given.
然后基于不变流形理论和庞加莱截面方法，设计了不同拉格朗日点间转移轨道。
The Poincaré Conjecture was first posed by the French mathematician, Jules Henri Poincaré, in 1904, and seeks to understand the shape of the universe by linking shapes, spaces and surfaces.
庞加莱猜想最先由法国数学家亨利?庞加莱于1904年提出，是一个关于三维空间形状的问题。
The Poincaré Conjecture was first posed by the French mathematician, Jules Henri Poincaré, in 1904, and seeks to understand the shape of the universe by linking shapes, spaces and surfaces.
庞加莱猜想最先由法国数学家亨利?庞加莱于1904年提出，是一个关于三维空间形状的问题。
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