振荡方程

The first is refered to the vibration model with retardation for the market equilibrium price, where the knowledge of the second order linear ordinary differential equation is used.

第一个是研究市场调节下平衡价格的阻尼振荡模型，使用了二阶线性常系数微分方程的课程知识；第二个是在引进社会福利因素时商品的最优定价模型，使用了定积分和微分法的课程知识。

The first is refered to the vibration model with retardation for the market equilibrium price, where the knowledge of the second order linear ordinary differential equation is used. The second is refered to the optimal pricing model of the price under the frame of the social welfare, where the concept of the definite integral is exploited.

第一个是研究市场调节下平衡价格的阻尼振荡模型，使用了二阶线性常系数微分方程的课程知识；第二个是在引进社会福利因素时商品的最优定价模型，使用了定积分和微分法的课程知识。

A general Godunov finite difference schemes-WENO schemes which had fifth-order accuracy was used to make a numerical calculation for 2-dimensional axis symmetrical laser-supported plasma flow field under laser ablated solid target and laser ablated propulsion efficiency parameters(mechanical coupling coefficient etc.) was obtained by the simulation.The models of the calculation of ionization degree of plasma and the interaction between laser beam and plasma and the simplified eos of plasma were considered in the simulation.

采用针对高温气体电离度的一种近似计算方法，以及具有五阶精度的广义Godunov差分格式-加权本质无振荡格式WENO(weighted essentially non-oscillatory schemes)，给出了高温气体状态方程的简便描述，并考虑激光与等离子体的相互作用，模拟了强激光与固体靶相互作用时激光支持靶面等离子体流场的动态物理过程，并给出了不同参数条件下激光烧蚀固体靶的推进效应参数。

Oscillation circuit ; Differential equation ; The stability analysis

振荡电路；微分方程；稳定性分析

However, the refraction of plane wave in reaction-diffusion system obeys Snell's law only for proper diffusion coefficients and system parameters.

在二维复金兹堡-朗道方程描述的反应扩散振荡系统中，就扩散对平面波折射率的影响进行了数值研究，从Snell定律出发导出了折射率的解析表达式，数值和理论结果表明：在纯扩散情况下，平面波的折射满足Snell折射定律，扩散只影响着平面波折射率的大小；在同时存在反应扩散情况下，只有在适当的扩散系数和系统参数下，平面波的折射才满足Snell折射定律。

In the numerical study, the governing equations of flow and heat transfer in 3 —D body—fitted curvilinear coordinate system being automaticly generated with TTM method were deduced by means of vector and tensor analysis. These equations were dliscreted with nonstaggered grids providing relative elimilating method for the pressure oscillation was domonstrated.

在数值分析中，借助于矢量理论和张量分析，导出了具有普遍意义的三维任意曲线坐标系下的流动传热控制方程，并利于TTM方法生成了计算域的贴体曲线坐标网格；在数值离散过程中，尝试了用非交错网格离散的方法并解决了压力场振荡的抑制问题；运用附面层理论，阐述了壁面函数法在三维任意曲线坐标系上的应用。

The simulation results show that the three models are all selfconsistent with electromagnetic field. Gauss law model tends to be affected by the width of the first cell and yield nonphysical oscillation. 1D diode model with reasonable discrete grid gets almost the same results as Child law model, but it needs to solve a transcendental equation, which would cost much time.

模拟结果表明，三种模型都能与电磁场自洽并反映外加磁场对发射电流的影响，但高斯定律模型受网格剖分粗细程度的影响较大且容易产生振荡，一维二极管模型在网格参数合理的情况下结果与查尔特定律模型基本接近，但需要求解超越方程，花费时间多。

The asymptotical behaviors and periodic oscillations have been studied by applying the modern theories of difference equations.

应用现代差分方程理论对这些数学模型解的渐近性态与周期振荡进行了详细的讨论研究。

In the study of the interference effects between three weakly linked trapped Bose-Einstein condensates, three coupled Gross-Pitaevskii equations are used to describe the dynamics of the system. The nonsinusoidal oscillation is found as a generalization of the Josephson effect in superconductivity.

对于三个弱联结偶合的Bose-Einstein凝聚系统，通过解偶合的Gross-Pitaevskii平均场方程，我们发现，作为超导电性Josephson效应的推广，非正弦振荡存在于系统的动力学行为中，并由此得到了相图并预言了自陷效应。

When these parameters surpass a certain value, the system cannot appear the limitcycle. Through the various parameters\' changing, it demonstrates the forming process of the dissipative structure. Thus it show the dissipative structure\'s characteristic of the trophodynamics predation model and point out the ecological significance of the various parameters in the model.On the fourth chapter, the spruce aphides and its predator model is a predator model.

第四章，以两个捕食者作用于同一食饵的竞争关系模型为例，应用微分方程定性理论，对捕食模型中存在极限环的情况进行了讨论，用MATLAB在相平面上模拟出系统的极限环，此时该体系状态的发展呈现周期振荡趋势，从而揭示出营养动力学为基础的捕食模型耗散结构特征。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。