About Rotation Number and Expanding Map of Homeomorphism Onto Itself for Torus in Topological Space 拓扑空间中环面自同胚的旋转数及扩张映射
Abstract: In this paper, we have studied the homeomorphism with integrable dilatation, obtained several distortions and one modulus inequality for this class of homeomorphism. 具有可积伸张同胚的偏差和模不等式本文研究了具有可积伸张的同胚,得到了这类同胚的几个偏差估计和一个模不等式。
So studying continuous and homeomorphism on the mapping of quotient spaces plays the vital role to study their nature and we may obtain the very good conclusion and the application of it. 通过研究商空间之间映射的连续性和同胚性对于研究它们的性质有很重要的作用,所得结论可以得到更好应用。
There's many methods to study it, such as algebraic method, variational method, fixed point method, topological degree homotopy method, monotone iterated method, homeomorphism method. 研究方法非常多,通常有代数方法,变分方法,不动点方法,拓扑度同伦方法,单调迭代方法,微分同胚方法等。
Homeomorphism problem on inverse limit spaces by Markov circle maps 圆周上Markov映射逆极限空间的同胚问题
A global homeomorphism theorem 一个大范围同胚定理
In this paper, the closed convex hull, extreme points and support points of the class of Robertson functions are determined by linear homeomorphism. 本文借助线性同胚关系,确定了罗勃生(Robertson)函数族的闭凸包、极端点和支撑点。
Let f be a homeomorphism, the following statements were obtained: if f is distal and has POTP, then fn does not have the average shadowing property; 设f是个同胚映射,得到了如下结果:若f有POTP且是distal的,则fn不具有平均跟踪性;
The authors have proofed that the map symbol pgf ( A__) is the homeomorphism of mapping object A__ according to the theorem of set continuity which gives the mathematical basis for the space cognition of maps. 根据集合的连续定理,证明了地图符号pgf(Ax)是制图物体Ax的同胚象,从而为地图的空间认知提供了数学基础和理论支持。
In this paper we prove that the global attractor for the Sine-Gordon system without capacitance effect under Neumann boundary condition is an invariant curve. The behavior of the system on the curve is like the orientation preserving homeomorphism on a circle. 证明当扩散系数适当大时Neumann边条件下无电容效应的SineGordon系统全局吸引子是一条不变曲线,系统在其上的行为类似于圆周上的保向同胚。
Every smooth CR homeomorphism from a real hypersurface of finite type to a real hypersurface in C~ n is a CR diffeomorphism. 证明了Cn中有限型实超曲面到另一个实超曲面的每一个光滑CR同胚必定是CR微分同胚。
Distribution networks can be classified by homeomorphism graph depending on the property of distribution network, and each class is defined as a configuration pattern. 本文研究了配电网的结构模式,利用图论中的同胚图将配电网中所有可行的辐射状网络结构划分为不同的类别,每个类别定义为一个结构模式。
Similarly, there is a problem about whether a homomorphism of rings induces homeomorphism of their HX rings. 类似的问题是:环的同态能否诱导出它们的HX环之间的同态?
In this paper we give the properties and structure of eigenfunctions and eigenvalues of the weakly ergodic homeomorphism on compact system. 本文给出紧致系统上弱遍历自同胚的特征值与特征函数的结构性态。
In section 2.4, a sufficient condition is given for a distal homeomorphism not having the POTP. In the end of this section, we describe the distal homeomorphism s of intervals and circles. 4节给出了紧致度量空间上的distal自同胚不具有伪轨跟踪性的一个充分条件,并给出了区间上和圆周上distal同胚的等价刻划。
The paper shows, that the condition "X is a homeomorphism" of the definition of a regular surfaces can be substituted with the condition "X is One-to-one". 本文证明了:正则曲面定义的条件X是一个同胚可以减弱为条件X是一对一的。
It is proved that a homeomorphism on a compact metric space with the average shadowing property has only one chain component which is the whole space. 证明了紧致度量空间上具有平均伪轨跟踪性质的同胚只有一个链分支,这个链分支就是全空间。
This paper shows the existence of solitary waves of generalized sine-Gordon equation by proving the existence of limit heteroclinic orbit via the author's vector field homeomorphism in the sense of traveling waves. 本文在行波解意义下,利用作者的向量场同胚映射证明了广义Sine&Gordon方程具有极限异宿轨,从而证得孤波的存在性。
The ( E_1) Topology in Banach Space and the Homeomorphism of Spaces Banach空间中的(E1)拓扑与空间的同胚问题
In this paper, concepts of θ continuous mappings,θ homeomorphism,θ connected spaces and θ connection etc. are introduced by θ open sets theory. The characteristics of θ continuous mappings are given. 由θ开集理论引入了θ连续映射、θ同胚、θ连通空间及θ连通等概念。
Some Generalizations on the Separability and Homeomorphism 关于分离性和同胚关系的一些推广
Global Linearization and Continuity of the Homeomorphism Function 全局线性化及同胚函数的■连续性
The study of the near homeomorphism 关于几乎同胚的研究
The solution space of network reconfiguration is divided into several subspaces using homeomorphism graph. 利用同胚图将重构求解空间分解为若干个子空间。
In this paper, through the study to the hierarchy of coupled nonlinear evolution equations, and its related eigenvalue problem, it is proved that the solution space to the eigenvalue problem and the solution space to the Lenard eigenvalue problem are differentiable homeomorphism. 通过对一族耦合非线性扩散方程及其相关的特征值问题的研究,证明了此特征问题的解空间与对应的非线性Lenard特征值问题的解空间是微分同胚的;
The Properties and Structure of Eigenfunctions and Eigenvalue of the Weakly Ergodic Homeomorphism 弱遍历自同胚的特征值与特征函数的结构性态
On Homeomorphism of Quotient Spaces of LF Topological Spaces LF拓扑空间的商空间的同胚
Then the relationship between system isomorphism/ homeomorphism and VV& A is briefly discussed. 然后简要地分析了同构、同态与建模及模型VVA之间的关系,最后对现有VVA技术进行了综述。
In this paper, we investigate the homeomorphism for contract-condensing mappings and monotone mappings by using topological degree. 用拓扑度研究了压缩-紧的同胚映射和单调的同胚映射。
According to definition of homeomorphism map, the uniqueness of equilibrium for Cohen-Grossberg neural networks with different-type delays. 本章针对工程实际需要,在Cohen-Grossberg神经网络中引入了不同的类的时滞项,根据同胚映射原理,给出了平衡点的唯一性。