映射

The fundamental compute region B is determined and self-similarly mapped into the upper half plane by using the homeomorphic affine transformationθ, so the fractal images of the upper half plane, square limit, and circle limit can be constructed.

周期化动力平面或参数平面，确定基本计算区域，应用同胚仿射变换将基本计算区域自相似地映射到上半平面，进而构造方极限和圆极限分形图。

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。

Secondly,by reduction to absurdity and the sequentially compactness of the space,the minimality of a homeomorphism on a sequentially compact space is discussed.

其次，利用反证法结合空间的序列紧致性对序列紧致空间上的同胚映射的极小性进行讨论。

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。

By using the homotopic mapping method, a class of simplified nonlinear model is studied, and the approximate solution is obtained.

利用同伦映射方法，研究了一类简化型非线性模型。

And based on a class of oscillator of ENSO models, employing the method of homotopic mapping, the approximate and exact of solution of corresponding problem is studied.

并在这基础上借助同伦映射方法研究了一类ENSO模型振子模型的近似解与精确解。

The time coordinate is introduced by the homotopic shift,and the electric monopole appears in an active model in the Minkowski space.

通过映射的伦移引入时间坐标，从而使电单极子成为Minkowski空间中的一个〈活化〉的模型。

It is proved from the results that homotopic method can be used for analyzing the SST anomaly in the equatorial eastern Pacific and the thermocline depth anomaly of the atmosphere-ocean oscillation for ENSO model.

从得到的结果看出，同伦映射方法能够用于分析ENSO模型在赤道东太平洋中的SST异常和气-海振荡的温跃层深度异常。

By using new inequality techniques, homotopic mapping and constructing a new type Lyapunov func tional method, we obtain some new criteria guaranteeing global asymptoticstability.

研究多时滞Cohen-Grossberg神经网络的全局渐近稳定性，利用新的不等式技术，同伦映射及李雅普诺夫泛函方法，我们获得了几个新的准则。

Supposing the nonlinear term bounded, by using homotopy invariance theorem, we proved the existence of solutions of boundary value problems for a class of nonlinear ordinary differential equations.

在假设一类常微分方程边值问题中的非线性项有界的条件下，运用同伦映射不变性定理，得出了解的存在性结论。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。