查询词典 bifurcation

At still higher intensity, especially near tube resonance, the numerical findings appear half and even quarter frequencies, a phenomenon of bifurcation.

在相当高的声级，特别是在管中共振时，数值结果中有二分频和四分频等成分，出现了分岔现象。

In preface of chapter one, the research meaning of reticulated shells, bifurcation and chaos are introduced.

在第一章绪论中主要介绍了网壳、分岔、混沌研究的意义，然后介绍了网壳研究的国内外进展状况。

Objective To observe the clinical effect of bifurcation of root and root canal lateral wall perforation repair.

目的 对穿孔牙齿的修复和牙周损害的处理进行临床观察。

A class of fast-scale bifurcations appearing around the maximum value of the input voltage is discovered for the first time by experiment. Then the influence of the fast-scale bifurcations on the performance of the PFC converters is discussed. Whether the fast-scale bifurcations will appear and how wide the bifurcation region depend on the characteristics of the current loop output. Therefore, the main factors that affect the current loop output are analyzed, including the current loop parameters, inductance, and root-mean-square value of the input voltage.

通过实验，该文首次发现了一类在输入电压最大值附近发生的快时标分岔；详细讨论了快时标分岔对PFC变换器性能的影响；由于电流环输出的特点决定了变换器是否会出现快时标分岔以及分岔区域的大小，该文分析了影响电流环输出的主要因素，包括电流环参数、电感值和输入电压有效值。

By analyzing the distribution of the roots of the characteristic equation according to Rouche theorem, the stability condition of this dynamical system is investigated and Hopf bifurcations are demonstrated. The bifurcation graph can be obtained and some simulation examples are shown.

利用儒歇定理及其推论分析了该动力系统特征方程根的分布情况，进而得到该系统解析解稳定和Hopf分支存在的条件，画出了分支图，给出相应的数值例子。

In the first part, we discuss the properties of solutions of (0.1) system with dif-ferent diffusion coefficient and the second boundary condition. The stability of non-negative constant solutions is given, some prior-estimate of the positive steaystateare proved by using the maximum principle and lower-upper solutions, the non-existence of non-constant positive solution, the global exitence of non-constant pos-itive solution and bifurcation solution of non-constant positive steady-states areobtained.

第一章讨论了系统(0.1)在扩散系数不相同的情况下非负常数解的稳定性，运用极值原理，上下解方法确定了系统(0.1)正平衡态解的一些先验估计，然后讨论了非常数解的不存在性，非常数正平衡态解的全局存在性及非常数正平衡态的分歧解。

Based on the nonlinear dynamics theory, the stability and bifurcation of a symmetrical rotor supported in self-acting gas bearings were studied.

基于非线性动力学理论，研究了普通圆柱型径向气体动压轴承支承的转子动力系统的运动稳定性和分岔。

As a pneumatic self-excited vibration system, pneumatic vibrator bifurcation phenomena are studied for the first time.

首次研究了这种气动自激振动系统的分叉问题，得出了产生分叉和倍周期运动的参数条件。

Thirdly, the Hopf bifurcation of the self-excited vibration model with moving boundaries is considered.

研究了具有运动边界的自激振动模型的Hopf分叉问题，从系统自激振动的极限环生成和消亡的过程可发现：系统在边界的运动速率变化时能够发生一阶超临界Hopf分叉。

To a general KdV equation with singular curves on phase plane, we explain the reason why these non-smooth traveling wave solutions arise.Based on the bifurcation analysis, all possible traveling wave solutions have been known qualitatively.

论文的第三章考虑奇异性对非线性波动方程解的结构的影响，针对相空间上出现奇异线的广义KdV方程，详细讨论了奇异线的存在对解的结构的影响，分析系统中非光滑行波解产生的原因。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。