查询词典 manifold without boundary

This relation will imply that,to what extent,the position ofan attractor or a repeller of a non-singular Smale flow in a closed 3-manifold depends onthe behavior of the flow on the rest of the manifold.

我们还得到了挠量、一般闭三维流形中链环的Alexander多项式与基本群的表现之间的关系，并由此说明了闭三维流形上Smale流的吸引和排斥闭轨组成的链环的Alexander多项式与流在流形其他部分的行为的依赖关系程度。

The paper discusses the structure of the soul in a complete noncompact Riemannian manifold M with nonnegative curvature,and proves that if the soul of the manifold is unique,then the soul actually degenerates to a pole.

讨论了具非负曲率的完备非紧黎曼流形上的核心的结构，证明了如果核心是惟一的，那么核心将退化为极点。

We study the nonexistence of stable p-harmonic map from complete non-compact strong-parabolic Riemannian manifold to pinching Riemannian manifold.

文章讨论了从完备非紧强抛物黎曼流形到拼挤黎曼流形的稳定p 调和映照的不存在性。

Endowed with a Riemannian metric derived from the gray scale information of a given image, the image space became a Riemannian manifold. On this Riemannian manifold, we evolved a curve by the mean curvature flow using the level set methods.

在图像空间上直接赋予一种由图像灰度信息导出的黎曼度量，使之成为黎曼流形，然后在此黎曼流形上利用水平集方法对曲线以平均曲率流进行演化。

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。

Although the unstable manifold of the fast subsystem is different from that of the full system, the stable manifold of the fast subsystem is almost the same as that of the full system, so the domain of attractor of the full system can be given by that of the fast subsystem.

除了理论分析外，同时也给出了数值模拟的结果，包括分支图，轨线，吸引域，各变量的收敛性等。本章给出的稳定平衡点的吸引域对电力系统实行适时控制起到很重要的作用。

We study the attractive manifold method of the iterative learning control for a class of degenerate systems in the chapter Ⅲ. When the learning control systems don't satisfy the convergence condition, we present the learning control method satisfying the condition by constructing a stable and attractive manifold corresponding system. This method makes the system with better robustness.

第三章主要研究了一类退化系统目标跟踪的迭代学习控制的吸引流形方法，在系统不满足一般收敛条件的情况下，我们通过构造一个相应于所给系统稳定而吸引的流形，导出所满足要求的迭代学习控制，该方法对系统有较好的鲁棒性。

Estimate shows the resonant gaps between KAM tori can be as large as of order 〓, while the transversality which can be obtained by Poincaré-Melnikov method in the stable manifold and the unstable manifold, as best as we can hope, is only order 〓.

但在通有的摄动下，部分双曲环面会破裂，仅用Poincaré-Melnikov方法无法构造出足够长的"传递链"。

According to Shilnikov Theorem, on the condition that satisfies the basic characteristics of heteroclinic orbit, Shilnikov inequality and the eigenvalue equation, by finding a heteroclinic orbit consist of three geometric invariant sets, namely unstable manifold, heteroclinic point, and stable manifold, a set of real parameters accordance with the condition of existing heteroclnic orbit is obtained in this chaotic system.

根据Shilnikov定理，在满足异宿轨道基本特性、Shilnikov不等式和特征方程条件下，通过寻找该系统中一条由不稳定流形、异宿点和稳定流形三个几何不变集构成的异宿轨道，在分段Sprott系统中导出了存在异宿轨道时该系统中各个参数应符合的条件，并找到了一组对应的实参数，由此证明了异宿轨道的存在性。

Automation Box Packaging machine is Set Unwrap box,Loading stuff,box hem, Spray Glue,Closed box,integration machinery,apply manifold Variety manifold specification The carton packaging, with the most advanced high-speed automatic two-sol-Lance heat from the PLC microcomputer control, automatic alarm, fault tips,step motor automatic adjustment into the carton size.

全自动纸盒封装机是集开盒、装料、折盒、喷胶、封盒一体机，适用于多品种，多规格的纸盒包装，配有国内最先进的全自动的高速双喷枪热溶胶机，由PLC微电脑控制，自动报警，故障提示。步进电机自动调节纸盒大小。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。