查询词典 stable manifold

Secondly, method of Taylor series is used to approximate the slow manifold and the O approximation of the slow manifold is given; slow dynamics such as saddle node bifurcation which has been proven to be the same as that for the full system is analyzed; at the same time, fast dynamics including bifurcation conditions and domain of attractor of the stable equilibrium are also analyzed; the attracting region which consists of the stable manifold of the unstable equilibrium and stable equilibrium is given; we found that when the inner flux decay increases, the domain of attractor is enlarged.

首先，给出了电力系统SMIB模型的时间尺度分解，得到标准的奇异摄动模型；其次，利用幂级数方法，给出了慢流形的O近似M〓，分析了在慢流形M〓上的慢动态，得到了慢子系统的鞍结分支值，并证明此分支值与原系统的鞍结分支值相同；分析了快子系统的平衡点和全局分支的存在条件，给出由不稳定平衡点的稳定流形与稳定平衡点形成的吸引域；并研究内部电压对稳定域的影响，发现稳定域随内部电压增加而扩大；最后给出整个系统的稳定平衡点的近似吸引域。

In this paper, the existence of isometric mapping between the manifold in the high-dimensional data space and the parameter space is proved. By distinguishing the intrinsic dimensionality of high-dimensional data space from the manifold dimensionality, and it is proved that the intrinsic dimensionality is the upper bound of the manifold dimensionality in the high-dimensional space in which there is a toroidal manifold.

首先给出了高维数据的连续流形和低维参数空间之间的等距映射存在性证明，然后区分了嵌入空间维数、高维数据空间的固有维数和流形维数，并证明存在环状流形高维数据空间的参数空间维数小于嵌入空间维数。

As the special characteristic of nonlinearity, several notions are introduced and used in this paper, such as differential manifold, vector field, diffeomorphism, tangent space, topological equivalence. Stable manifold and unstable manifold are also introduced.

针对非线性的特殊性，本文专门介绍了非线性中几个比较特殊的概念，如微分流形、向量场、微分同胚、切空间以及等价关系等，对稳定和不稳定流形也作了介绍。

Since the OGY method needs stable manifold, it can't be applied in controlling hyperchaos which has no stable manifold.

由于OGY方法的控制需要稳定流形，因此对没有稳定流形的情况，即所谓超混沌情况就无法用它控制。

The linear manifold-learning algorithms represented by PCA, with their substantial mathematical foundation and simple implementation, but they are not able to show complex nonlinear manifold structure with their linear essence, which gives rise to nonlinear manifold-learning algorithms such as Isomap, SIE etc.

以PCA为代表的线性流形学习算法有较强的数学基础，实现简单，但是其线性本质并不能揭示复杂的非线性流形结构；于是又出现了以Isomap、SIE等为代表的非线性流形学习算法。

As a new technique, the manifold method, proposed by Genhua, Shi in 1990s is based on the concept of topology manifold and differential manifold in mathematics.

其中尤以数值流形方法最为突出，以其新颖的数值思想、先进的数值技术得到了学术界的广泛关注。

We get some results about the scalar curvature of 2 and n(n≥3)dimensions Einstein manifold :ρ Maybe is constant and ρ is constant, the relation between Einstein Manifold and Riemannian Manifold with constant sectional curvature.

本文对其有关性质进行了讨论，得到了2维和n(n≥3)维爱因斯坦流形的数曲率的一些结果：ρ可能为常数和ρ为常数，以及爱因斯坦流形与常曲率黎曼流形之间的关系

The simulation results of inlet air manifold show that the uniformity of the velocity at outlet of the manifold are improved by using the appropriate bell-mouthed inlet and clipper-built baffle, and inlet pressure needed of the manifold decrease.

对进气箱的模拟结果表明，采用扩压型进口加流线型挡块的方案可以提高出口速度的均匀性，同时降低了进气箱入口所需的气体压力。

The basic study content of this essay is follow as:1.To calculate the stable factor k_i~0 of individual slices according to self-forced condition of slices,under the condition of without inter-slices force.2.To calculate transferal force R_i, stabile factor K_i of individual slices and stabile factor K of the stable slope, under the condition of there is a level transferal force between slices and the slope is stable. If the slope is not stable, to calculate the transferal force R_i between individual slices, the stabile factor K_i of individual slices and the stable factor K of the unstable slope in term of concordant conditions of acceleration.

本文研究的基本内容包括： 1、研究土条条间不传递力情况下，由土条自受力状态计算各土条的稳定系数K_i，并由K_i计算稳定土坡的稳定系数K； 2、研究条间传递水平力情况下，若土坡稳定，由土条预平衡状态、传力顺序和传力边界条件，推导各土条间的水平传力R_i的理论公式和各土条的稳定系数K_i，并由K_i计算稳定土坡的稳定系数K；若土坡失稳，由加速度和谐条件计算各土条间的水平传力R_i和各土条的稳定系数K_i，并由K_i计算失稳土坡的稳定系数K

The results show that stable organic sulfur is the main s9lfur form in ZY coal. Pyrite can be removed under all the atmospheres in the tests, except for nitrogen at 500℃ 1% O2-N2 atmosphere has strong reactivity to remove the stable organic sulfur in ZY coal, especially at 700℃. Under 1% O2-N2 atmosphere, not only a part of stable organic sulfurs can be decomposed, but also more stable organic sulfur-containing structure can be broken down into less stable one.

结果表明，对于ZY煤而言，黄铁矿和不稳定有机硫除在氮气气氛下500℃时热解不能全部分解外，在其他条件下热解时都可以分解。1%氧气对ZY煤中稳定的有机硫的分解有很强的促进作用，不仅可以脱除稳定的有机硫，还可以使更稳定的有机硫断裂生成次稳定的有机硫，在随后的AP-TPR-MS实验过程中，这部分硫在较低的温度下逸出。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。