平衡点

Finally,we get local stable manifolds andlocal unstable manifolds of near hyperbolic equilibrium point of nonlinearautonomous dynamical systems by the properties of bounded solutions to nonlinearnonautonomous equations.

最后运用非线性非自治中立型泛函微分方程有界解的性质，得到非线性自治动力系统在双曲平衡点的局部稳定流与局部不稳定流。

In this paper, we consider neutral functional differential equations and study the global existence of their solutions, stable subspaces and unstable subspaces of linear autonomous dynamical systems, local stable manifolds and local unstable manifolds of near hyperbolic equilibrium point of nonlinear autonomous dynamical systems, periodic solutions and oscillation of the neutral equations.

本文主要研究中立型泛函微分方程解的整体存在性，自治线性动力系统的稳定子空间与不稳定子空间、自治非线性动力系统在双曲平衡点的局部稳定流与局部不稳定流，周期解与解的振动性。

One important feature ofHamiltonian systems is that it has energy(its energic function is Hamiltonian func-tion),then,its solutions on 2-dimensional plane are some contour lines,the points onstable manifold emanating from hyperbolic equilibrium point have the same energyas that on unstable manifold,then,one can guess that they form a closed curve,i.e.homoclinic orbits under certain conditions,and the contour lines in the innerpart of homoclinic orbit are periodic orbits.

哈氏系统的一个重要特征是它有能量存在(以Hamiltonian函数作为它的能量)，那么在二维平面上，它的解表现为一些等值线，从双曲平衡点发出的稳定流形和不稳定流形上的点具有相同的能量，那么可以猜测，在一定条件下它们构成一条封闭的曲线，即同宿轨，而且其内部的等值线都是周期轨道。

Uncertain singular systems are transformed into the form of restricted equivalence by a nonsingular linear transformation. By the method of Lyapunov function, a new terminal sliding mode control strategy based on the form of restricted equivalence is proposed for the first time, and the hypersurface of a special terminal sliding mode is given. A terminal sliding mode controller is designed correspondingly such that the motion of sliding mode can be guaranteed and the systems state variables can converge to the equilibrium point in a finite time.

通过非奇异线性变换把不确定奇异系统变换成受限等价形式，利用Lyapunov函数方法，首次提出了一种新的Terminal滑模控制策略，给出了特殊的Terminal滑模超曲面，设计了相应的滑模控制器，实现了滑模运动，保证了系统状态变量在有限时间内收敛到平衡点。

On the most contentious issues, like the proposal for a new public insurance plan, he said, Mr. Baucus has shown that "he is willing to find a middle ground; he's not an ideologue."

他说，在最有正义的问题上，比如说新公共保障计划的提案，Baucus表现出"他希望能够找到该计划的平衡点，他不是一个空想家。"

One of the creative animation challenges is to find a balance between the narrative and the improvisational aspect of the game.

其中的创意动画设计的挑战是要找到一个平衡点之间的叙事与即兴方面的游戏。

Person, seeks a perfect balance point in this.

期许自己能成为一位动静皆宜的人，在这之中寻找一个完美的平衡点。

I think I have found the right balance in my career.

我认为自己已经找到了职业生涯中的最佳平衡点。

I think I have the balance right in terms of working and relaxing.

我认为在处理工作和休息之间我找到了很好的平衡点。

So, a novel machine learning based digital blind audio watermarking scheme in the wavelet domain is proposed in this paper, which could find a reasonable balance between the robustness and inaudibility of the watermark, then have the better robustness and inaudibility.

本文正是将小波变换应用到音频信号的数字水印系统中，提出一种小波域上基于机器学习方法的新的数字音频盲水印算法，使其能在水印的鲁棒性和不可感知性之间寻找到合理的平衡点，从而具有更良好透明性和鲁棒性，并在音频作品的版权保护中能有一定的实用性。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。