分岔

Additionally, it has also been proved that the bifurcation problem with respect to frequence possesses infinite codimension. Therefore the dynamical bifurcation behavior is very complex in this case.

另外还证明：关于频率的分岔问题具有无穷余维，因此该情形下的动力学分岔行为非常复杂。

Near the bifurcation point, the linear stability of difference differential equation which describes acoustooptic bistable systems is analyzed, the expression of resonance frequency and amplification multiple are given.

在分岔点附近，通过对描述布拉格型声光双稳系统的差分－微分方程进行线性稳定性分析，得到了系统对小信号放大时的共振频率，给出了放大倍数的表达式。

Through the comparison of energy, the asymmetric solution is stable while the symmetric one is revealed unstable.

通过变形发生分岔前后的能量比较发现，分岔后的对称变形是不稳定的，而非对称变形是稳定的。

The Garden of Forking Paths was the chaotic novel itself. The phrase 'to various future times, but not to all' suggested the image of bifurcating in time, not in space.

我几乎当场就恍然大悟；小径分岔的花园就是那部杂乱无章的小说；若干后世这句话向我揭示的形象是时间而非空间的分岔。

When the output branch number is more than 2, we can construct a cascade connection of Y-branch waveguides. However, it occupies a large optical circuit area. The power dividers with 2N output branches can be setup by arranging (2N-1) branch waveguide. However, the design of dividing structures with output branches of odd number such as three or five are difficult.

当输出波导数大於2时，可以用串接的方式来增加输出波导数，但是所需空间会变大，而光功率分配器的2N分岔输出是可以由(2N-1)的分岔输出结构改变而来的，所以在设计奇数波导输出像是3或是5的波导数输出结构就成为一个必须的课题。

A series of experiments and numerical simulation of water flow in the Y type tube with circular cross section have been carried on to meet the request of the design for fork tube in the Yixing Hydropower Plant.

结合江苏宜兴抽水蓄能电站工程建设中钢岔管的设计要求，对分岔角为 6 4°的三岔管内水流的流动进行数值模拟与实验研究。

By rescaling the system,we obtain the Lorenz-Stenflo system with slow variation of the flow rotation. Based on Routh-Hurwitz criteria,the stabilities of the equilibria are analyzed and the bifurcation sets are sought to divide the parameter plane into different regions,corresponding to different types of the solutions.

通过对系统的重新标度，得到了气流旋转缓慢变化时的Lorenz-Stenflo系统；基于Routh-Hurwitz准则，分析了平衡点的稳定性问题，得到了参数平面上的分岔集，这些分岔集将参数平面划分为不同的区域，在各个不同的区域对应于系统不同的解。

A large 3D numerical model of forked tunnel is set up and different construction processes are simulated by D-FEM. Through analyzing displacement, stress and damage yield zone of tunnel surrounding, the optimum construction process that left tunnel excavates ahead of right tunnel 32 m is determined, left tunnel and right tunnel excavate synchronously is proposed.

建立了分岔隧道大型三维数值模型，采用弹塑性损伤有限元D-FEM模拟了分岔隧道不同的施工过程，通过分析施工过程中隧道围岩的位移、应力和损伤屈服区，最终确定采用左洞超前右洞32m，左右洞同步开挖的施工方法。

In this thesis, by the theory of bifurcations and chaos, we at first investigate bifurcations and chaos of a delayed ecological model.

本文首先应用非线性动力系统中的分岔和混沌理论，研究一个时滞生态模型的分岔与混沌，提出并改进了原有结果。

It shows similarity between the mapping and the prototype of Jeffcott model, and the complexity of grazing bifurcations.

这种分岔与原来的Jeffcott转子数学模型有一定程度上的接近，显示出碰擦分岔复杂的内在机理。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。