周期

In this paper, we will discuss the existing condition of the periodic solution of Duffing type equation with damping term. We use homeomorphism and fixed point method to prove the periodic solutions existence. We try to loose its condition, analysis and then get the existing condition of periodic solution according to defining atmospheric dynamics equation.

本文中，我们探讨带阻尼项的Duffing型方程周期解的存在性条件，运用不动点方法和Leray-Schauder度理论来证明其存在周期解，尽可能放宽其约束条件，并针对具体的大气动力学方程，分析并求取其周期解的存在性条件。

If you have to deal with more complex situations, you can define a delivery cycle in addition to the planning cycle .

译文带交货周期的时间段计划处理如果需要处理更加复杂的情况，你可以定义一个交货周期以补充计划周期。

The cardiac cycle includes two phases:systole and diastole ,which forms into one mechanical activity cycle.

心动周期：心脏一次收缩和舒张构成一个机械活动周期，称为心动周期。

The kinematics parameters were firstly presented by establishing the mechanical model of relation between the vibration screen and particle to deduce periodicity condition of particle motion,then disturbing function of particle motion for periodic motion was educed by using Poincaré mapping method,and studied motion characteristics of particle in vibration screening in terms of numerical analysis.

利用振动筛与颗粒之间关系的运动学模型，导出颗粒运动的周期性条件；然后利用Poincaré映射方法，推导出颗粒的运动对周期运动的扰动方程；最后对振动筛分过程中颗粒运动特性进行了数值计算研究，得出了筛面上颗粒运动是经周期分叉和概周期分叉通向混沌的演化过程。

We develop and apply the Hirota bilinear-θfunction method,Jacobi elliptic function expansion method,linear superposition method and F-expansion method respectively to solve many 2+1 dimensional nonlinear wave models including 2+1 dimensional 2DsG equation,the coupled ZK equation,2+1 dimensional KdV equation,2+1 dimensional long wave short wave resonance interaction equation and 2+1 dimensional dispersive long wave equation,abundant Jacobi elliptic function doubly periodic solutions are derived.These solutions show various periodic wave shapes and special periodic characters.

发展和应用Hirota双线性-θ函数方法，雅克比椭圆函数展开法，线性叠加法，F-函数展开法等分别求解2+1维2DsG方程，耦合ZK方程，2+1维KdV方程，2+1维长波短波共振相互作用方程，2+1维色散长波方程，获得丰富的雅克比椭圆函数双周期波解，描述了一些周期波形态及周期特性。

It is the shortest interval in which an elementary operation can take place within the processor .The machine cycle consists of two parts : an instruction cycle , which fetches and decodes ;and an execution

它是一个基本的操作能够在处理器中发生的最短的间隔时间，机器周期包括二部分：指令周期，取来并且译码；执行周期，执行并且存放。

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？

Dobutamine could increase CVIB of normal myocardium especially of epicardium.

多巴酚丁胺能够增加正常心肌的背向散射积分周期变异幅度，周期变异的增加主要由心外膜下心肌周期变异增加所致。

From the cyclical comparison, if epicycle interest rate cycle change speed and scope with last crown time quite, then one year later, the short-term rate of interest will achieve the present each kind of predicted value the high-end.

从周期比较来说如果本轮利率周期的变动速度和幅度都与上一轮周期相当，那么一年之后，短期利率就会达到目前各种预测值的高端。

Based on the whole life cycle theory for project management, the Government Invested Public Project life cycle integrated management models and methods are designed with the case study of the Government Invested Public Project of Tianjin Train Station Exchange Center in this thesis.

本文在项目全生命周期的理论基础上进行了项目全生命周期集成管理分析和研究，并且设计和提出了以天津站交通枢纽工程为例的政府公共项目的全生命周期集成管理的模式和方法。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失