同胚的

The reference domain is assumed to be a bounded open set of R~N with boundary Γ of class C~2. We investigate in this paper the null controllability for the semilinear parabolic equations in non-cylindrical domains. The fixed point method is used in the proof.

本文讨论了定义在上述非柱形区域中的半线性抛物方程零能控性，我们使用的方法主要是通过同胚映射将非柱形区域中的抛物方程转化为柱形区域中的抛物方程，再利用不动点方法得到半线性抛物方程的有关结果。

The article roughs out some result about the mapping class group of a toms,including a classical theorem about the classification of all automorphisms of a toms.

文章介绍了关于环面的映射类群的一些结果，包括环面到自身的自同胚类的分类的经典结果。

Analysis shows that the robot model containing uncertainty can be transformed into a quasi—linearized form by using nonlinear feedback and diffeomorphism. Based on this result, a simple design method is proposed for robot tracking control.

第一种算法将谈自忠等提出的机器人反馈线性化控制推广到存在不确定性的情形，指出通过非线性反馈和微分同胚变换可将含不确定性的机器人模型变换成准线性形式，基于此给出一种简单的跟踪器设计方案。

Firstly, the reduced dynamic model including motor dynamics is developed for mobile manipulators. The system is then decomposed into four lower-dimensional subsystems by applying diffeomorphism and nonlinear input transformation to the reduced model. The design of the second order dynamical sliding mode controller is then addressed for the output tracking of mobile manipulators.

首先给出了包括驱动电机动态特性的移动机械臂的简化动态模型，然后通过微分同胚和输入变换将其分解为四个低阶子系统，并给出了其输出跟踪的二阶动态滑模控制器的设计方法。

According to the theorem Euler characteristic is equal to 2 on the sphere, it is show that this maps has at least one fixed point,that is to say the vector field has at least one singular point.

在地壳的每一点，由于受力定义了整个地壳上的向量场，然后利用同胚，将其转化为球面上的自映射，并根据球面的欧拉示性数等于2，说明该自映射至少有一个不动点，即向量场至少有一个奇点。

In addition, in order to extend existing methods on bounded domains to unbounded domains, a simple practical approach is proposed by higher continuous differentiable homeomorphism.

另外，利用高阶连续可微的同胚映射，给出了一种实用的转化方法，将现有的有界域上的区间算法推广到无界域上。

In this paper, the following statements were proved: is chaintransitive if and only if is chaintransitive; if a homeomorphism is a Lipschitz map, then has the average shadowing property if and only if has the average shadowing property.

设是紧致度量空间，：X→X是连续的，n为任一给定的正整数，证明了：是链可迁的当且仅当是链可迁的；若同胚是Lipschitz映射，则有平均跟踪性当且仅当有平均跟踪性。

As applications, we prove the following results: If / has pointwise pseudo-orbit tracing property, for any k ∈ Z+, and fk is chain transitive, then for any k ∈ Z+, fk has open set transitive ; If f has pointwise pseudo-orbit tracing property, and for any n ∈ Z+,fn is chain transitive, then f has sensitive dependence on initial conditions; If f is open set mixing and has pointwise pseudo-orbit tracing property, then f has property P; Let f :→ be a homeomophism, then f is pointwise pseudo-orbit tracing property if and only if the shift map σf is pointwise pseudo-orbit tracing property.

作为应用，证明如下结论：若f具有逐点伪轨跟踪性质，且对任意k∈Z+，fk为链转换的，那么对任意k∈Z+，fk为开集转换；若f具有逐点伪轨跟踪性质，且对任意n∈Z+，fn为链转换的，则f具有初始敏感依赖性质；若f为开集混合的，且具有逐点伪轨跟踪性质，那么f具有性质P；设f：→是同胚映射，那么f具有逐点伪轨跟踪性质当且仅当移位映射σf具有逐点伪轨跟踪性质。

Based on the homeomorphous transformation for the model, it can be concluded that if the chaotic attractor for the diagonal is stable for the transverse small perturbation in neighborhood, it should be globally stable in the whole feasible set.

通过对模型的同胚变换可得到：如果对角线上的混沌吸引子在垂直於对角线方向上局部稳定，那麼它在可行集的范围内也全局稳定。

This paper studies the exponential stability of cellular neural networks with time- varying delay by making use of the homoeomorphism theory, the idea of vector Lyapunov function, M- matrix theory and inequality - technique, offering the grounds for uniqueness of equilibrium point existence and the global exponential stability and estimating the exponential convergence rate index.

利用同胚映射理论、向量Lyapunov函数思想、M-矩阵理论和不等式技术，研究了具有变时滞的细胞神经网络模型的全局指数稳定性，给出了判定平衡点的存在唯一性以及全局指数稳定性的一个判据，并且估计了收敛速度指标。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。