双曲点

词组短语

hyperbolic point · neutral point

与双曲点相关的网络例句 [注：此内容来源于网络，仅供参考]

Routh-Hurwitz is used to determine that the characteristic equation has negative real root, and Center-Manifold theorem is used to study the stability of autonomous differential system in the case of hyperbolic and non-hyperbolic at the equilibrium point.

利用Routh-Hurwitz判定特征方程有负实部根，并利用中心流形定理研究了自治微分系统在平衡点处双曲和非双曲情况下的稳定性，由此产生系统趋于不同稳定点时病毒分裂的临界值，同时利用数值模拟验证了分析的合理性。

In chapter 2, using the favorable characters of the function Q = ch{x - 1, we construct the hyperbolic cosine penalty function and algorithms and proved its convergence .

在第二章中，我们利用函数Q=ch-1良好的性质，提出一种用双曲余弦函数作罚项的双曲余弦罚函数及算法，证明了该罚函数和算法的合理性及迭代点列的收敛性。

For a monotone twist map the well-known Birkhoff fixed point theoremsays that the circles with rational rotation number will break up whence a finitenumber of pairs of periodic points arise,half of which are elliptic and the othershyperbolic.Moreover,around each elliptic periodic point a few of new invariantcurves will appear and make a picture of phase space with a self-similar structure.Again one may ask is there a similar picture for higher dimensional Hamiltoniansystems?

对于单调扭转映射，著名的Birkhoff不动点定理指出，在通有情况下旋转数为有理数的不变曲线一般会破裂，在原来的不变曲线附近会产生有限多对周期点，其中一半是双曲的，一半是椭圆的，而在椭圆型周期点的周围又会产生一圈圈的不变曲线，使得椭圆周期点附近的动力学行为和整个相空间的动力学行为十分相象，换句话说，整个相空间具有无限嵌套的自相似结构，自然又产生了一个问题：对于自由度数目大于2的高维哈密顿系统，其相空间是否有类似的图象？

By measuring the distance between the stable manifold and the unstable manifold of the hyperbolic fixed point in the Poincare map, it is shown whether the system has transversaUy homoclinicpoints and chaos in the sense of Smale horseshoes.

Melnikov方法是用来判定一个系统是否存在Smale马蹄意义下的混沌的一种有效的数学方法，它通过测量Poincare映射的双曲不动点的稳定流形与不稳定流形之间的距离来判定系统横截同宿点的存在性及Smale马蹄意义下的混沌的存在性。

In particular, the system generates bifurcation when 2c-a=0, and then the stable knot bifurcates a hyperbolic saddle point and stable convergence, which is so-called Pitchfork bifurcation. From 2c-a≤0 to 2c-a≥0, the attracting set A of the system is changed from single point to the union set of two different old orbits.

系统在2c-a=0时产生分岔，其稳定的结点分岔出一双曲鞍点和两个稳定的汇，这就是Pitchfork分岔，可见在2c-a≤0变化到2c-a≥0时，吸引集A从单点集变成为连接P和P的两异宿轨道的并。

In Chapter 2,we extend a boundary map with singular points to a harmonic mapbetween real Hyperbolic space and complex Hyperbolic space.

在第二章中我们将带有奇异点的边界映射延拓为从实双曲空间到复双曲空间的调和映射。

The relationship between the reflectivity and the position of stress is hyperbolic tangent. Moreover, the phase had certain relations. Based on this, the characteristic of FBG under inhomogeneous transverse force were studied.

同时，应用传输矩阵的方法对光纤光栅横向局部受力特性进行了研究，研究发现当光栅局部受力时，反射谱产生分裂，分裂点波长移动与受力大小成线性周期变化，分裂点的反射率与光栅局部受力位置为双曲正切关系，而且相位也存在一定的关系。

Introduced is a kind of space uniform rational spline curve, which possesses tension parameters and is based on hyperbolic spline functions.

引入了基于双曲样条函数的、具有张力参数的空间有理等距节点样条参数曲线，给出了这种曲线在每个样条子区间上为挠曲线段的充分必要条件；分析了这种挠曲线段没有尖点、重结点和泛拐点的特性；因而在用于空间曲线几何造型时可避免奇异性。

The topology analysis of vector field around "a singular point" is refered in the study of the topology of three-dimensional symmetric tensor field around a simple degenerated point, which can be classified into three types of hyperstreamline sectors:"hyperbolic sector","parabolic sector" and "elliptic sector".

本文参考矢量场中"奇点"附近的矢量轨迹分布结构，研究了张量场中"退化点"附近的特征向量分布形态。确定了"退化点"附近"超流线体"轨迹的三种形态。"抛物扇区"、"双曲扇区"、"椭圆扇区"及其这些扇区的边界。

In order to probe the relationships between wave equation offset domain common image gathers/angle domain common image gathers with migration velocity, we quantitatively derive the changes of ODCIGs and ADCIGs along with migration velocity on the assumption of uniform velocity medium with a horizontal reflector. We come to conclusion that ODCIGs are hyperbolas with half offset; on the contrary, they are ellipses. Combined with the results of depth focusing analysis, we find the apparent incident angles in ADCIGs are larger than the real incident angles when the migration velocity is larger than the true one and vice versa. With lower migration velocity, the residual moveout on ADCIGs is an ellipse with the tangent of apparent incident angle; otherwise, it's a hyperbola.

为了得到波动方程偏移距域共成像点道集和角度域共成像点道集与偏移速度的关系，在匀速单层水平反射情况下，对ODCIGs和ADCIGs随偏移速度的变化进行了定量的推导，得到偏移速度偏小时ODCIGs与半偏移距成双曲关系，反之成椭圆关系；结合深度聚焦分析，得到偏移速度偏大时ADCIGs中视入射角大于真入射角，反之，小于真入射角；在速度偏小时，ADCIGs上剩余时差与视入射角的正切值成椭圆关系，反之成双曲关系。

与双曲点相关的网络解释 [注：此内容来源于网络，仅供参考]

hyperbolic geometry：双曲几何学

hyperbolic function 双曲函数 | hyperbolic geometry 双曲几何学 | hyperbolic inverse point 双曲逆点

hyperbolic inverse point：双曲逆点

hyperbolic geometry 双曲几何学 | hyperbolic inverse point 双曲逆点 | hyperbolic involution 双曲对合

hyperbolic point：双曲点

hyperbolic plane 双曲平面 | hyperbolic point 双曲点 | hyperbolic riemann surface 双曲型黎曼曲面

hyperbolic point on a surface：曲面上的双曲点

hyperbolic point 双曲点 | hyperbolic point on a surface 曲面上的双曲点 | hyperbolic projectivity 双曲性直射

hyperbolic fixed point：双曲不动点

双曲不变集|hyperbolic invariant set | 双曲不动点|hyperbolic fixed point | 双曲点|hyperbolic point

hyperbolic periodic point：双曲周期点

双曲正弦戈登方程|sinh-Gordon equation | 双曲周期点|hyperbolic periodic point | 双曲柱面|hyperbolic cylinder

hyperbolic riemann surface：双曲型黎曼曲面

hyperbolic point 双曲点 | hyperbolic riemann surface 双曲型黎曼曲面 | hyperbolic rotation 双曲旋转

hyperbolic system：雙曲系統

双曲点 hyperbolic point | 双曲系统 hyperbolic system | 双曲型 hyperbolic type

hyperbolic invariant set：双曲不变集

双曲闭轨|hyperbolic closed orbit | 双曲不变集|hyperbolic invariant set | 双曲不动点|hyperbolic fixed point

hyperbolic projectivity：双曲性直射

双曲点 hyperbolic point | 双曲性直射 hyperbolic projectivity | 双曲型二次曲面 hyperbolic quadratic surface