查询词典 hyperbolic

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。

One important feature ofHamiltonian systems is that it has energy(its energic function is Hamiltonian func-tion),then,its solutions on 2-dimensional plane are some contour lines,the points onstable manifold emanating from hyperbolic equilibrium point have the same energyas that on unstable manifold,then,one can guess that they form a closed curve,i.e.homoclinic orbits under certain conditions,and the contour lines in the innerpart of homoclinic orbit are periodic orbits.

哈氏系统的一个重要特征是它有能量存在(以Hamiltonian函数作为它的能量)，那么在二维平面上，它的解表现为一些等值线，从双曲平衡点发出的稳定流形和不稳定流形上的点具有相同的能量，那么可以猜测，在一定条件下它们构成一条封闭的曲线，即同宿轨，而且其内部的等值线都是周期轨道。

The light curve of five kinds of landscape lianas commonly used in southern China were measured by LI-6400 portable photosynthesis system and fitted by non-rectangular hyperbolic model. Light compensation point, light saturation point, Pn,ɑ of the 5 lianas species were analyzed comparatively. The results indicated that there are significant differences in light response of photosynthesis among them.

采用Li-6400便携式光合测定仪对5种华南地区常用园林绿化藤本植物进行了光响应曲线的测定，并用非直角双曲线模型对其进行拟合，对比分析了5种藤本植物的光补偿点、光饱和点、最大净光合速率、最大表观量子效率。

In the fourth section, we stress on the study of the finite type rotation hypersurfaces, and obtain the classification of two and three dimensional spherical and hyperbolic rotation surfaces of finite type. It is proved that the parabolic rotation hypersurfaces are minimal or maximal.

第四节着重对有限型旋转超曲面进行了研究，得到二维和三维球型、双曲型有限型旋转曲面的分类结果，证明了有限型抛物型旋转超曲面是极小或极大超曲面。

Analytical Propagation Expressions of Hyperbolic Secant Pulsed Beams with Narrowband and Broadband.

窄带和宽带双曲正割脉冲光束的解析传输式。

The RMS pulse width should be used when the subcyle hyperbolic secant pulses is described.

所以描述亚周期双曲正割脉冲时应该使用更加严格的均方根脉冲宽度。

The suggested method was applied to varying excitation pulse shapes: square envelope and chirped hyperbolic secant envelope.

本文将替换过程分为服务替换和路径替换2种方式，并详细介绍了这2种替换方式的实现方法。

The analytical expressions of two kinds of pulse width of ultrashort hyperbolic secant pulses were deduced,i.e.the pulse width at full width at half maximum which was used generally and the root-mean-square pulse width which was precise.

利用理论推导和数值模拟方法，给出了超短双曲正割脉冲较为严格的均方根脉冲宽度与通常使用的半高全宽脉冲宽度的解析表达式，并对两种脉冲宽度进行了比较。

The relation between the center of time gravity of the ultrashort pulse and the carrier phase was studied by using three kinds of pulses,named Gauss,Hyperbolic Secant and Lorentz pulses.The analytical expressions of the relation between them was deduced.

以Gauss、Hyperbolic Secant、Lorentz三种脉冲为例，利用理论推导和数值模拟的方法研究了载波相位对超短脉冲时间重心的影响，并给出了三种脉冲的时间重心与载波相位的解析表达式和数值模拟的图形。

"Please accept this talisman as a token of our thanks."

请收下这个护身符以表达我们的感谢。

If I have that magic, I will be more acceptable in the society.

如果我拥有那种魔法，我将更加被这个社会所容纳。