不稳定解

Using the information from exploratory adit can class rock mass structure, drawing lessons from internal successful experiences in rock mass quality and weathering zone classification, dam abutment rock mass is classed by choosing quantization indices of rock mass structure, the outcome same as investigation, accord with commonly geoloical rule. Using the information from slope image can finish stability analysis of lithologic slope, get 3-D cutaway view and date, it is important datum for research engineering geoloical condition of dam abutment rock mass.

利用勘探平洞洞壁图片采集的结构面信息处理成坝肩岩体结构研究的基本量化指标及实体模型，进行拉西瓦水电站坝肩岩体结构类型划分，并借鉴国内岩体风化分带、岩体质量分级规范，以岩体结构量化指标作为风化分带和质量分级的主要指标，划分两岸坝肩岩体风化分带、岩体质量分级，划分结果与野外现场判定及地质师室内划分结果相符合；利用边坡图片解译结果完成了坝肩岩体抗滑稳定边界条件分析，及不稳定块体的量化值和三维展示图，为坝肩工程地质条件评价提供重要资料。

In view of this algorithm, the sufficient conditions ensuring that the bifurcated periodic solutions are orbitally asymptotically stable and unstable on the center manifold are obtained.

通过这一显式算法，给出了分支周期解在中心流形上轨道渐近稳定和不稳定的充分条件。

Finally, we get local stable manifolds and local unstable manifolds of near hyperbolic equilibrium point of nonlinear autonomous dynamical systems by the properties of bounded solutions to nonlinear nonautonomous equations.

最后运用非线性非自治中立型泛函微分方程有界解的性质，得到非线性自治动力系统在双曲平衡点的局部稳定流与局部不稳定流。

Finally,we get local stable manifolds andlocal unstable manifolds of near hyperbolic equilibrium point of nonlinearautonomous dynamical systems by the properties of bounded solutions to nonlinearnonautonomous equations.

最后运用非线性非自治中立型泛函微分方程有界解的性质，得到非线性自治动力系统在双曲平衡点的局部稳定流与局部不稳定流。

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。

By the expansion of a function in terms of spherical harmonics, solutions in form of separation about the asymmetry disturbance were studied. At last, by the theory of stability of differential equations, under the no limitation or less than 1 to the symmetry stationary radius, the asymmetry stability of stable and unstable conditions were obtained.

然后利用球调和函数展开，研究了有关扰动的偏微分方程的变量分离形式的解，最后根据微分方程稳定性定理，在肿瘤静止半径没有限制或肿瘤静止半径小于1的情况下，得到了非对称扰动的稳定和不稳定的条件。

The bounded and unbounded traveling wave solutions which correspond to the stable and unstable manifold at the saddle point have been worked out.

计算了与鞍点处的两种稳定和不稳定流形相对应的有界和无界行波解。

Then we prove that if the initial data enter into the unstable set, then the solution of the aforementioned Cauchy problem blows up in finite time, and if the initial data enter into the stable set, then the solution of the aforementioned Cauchy problem globally exists.

其次证明了如果初值进入不稳定集，该柯西问题的解在有限时间内爆破；如果初值进入稳定集，该柯西问题的整体解存在。

According to Duhamei theory and method of binominal calculating productivity and combing with production of gas well, bore hole pressure is suggested so that a forecasting model for testing pr.

在Gringarten等人提出无限导流垂直裂缝模型解的基础上，通过对产生的裂缝进行微元段划分，结合均匀流率垂直裂缝模型，得出了裂缝微元段数为200时的井底不稳定流动压力的半解析解，根据杜哈美原理和二项式计算产能的方法，结合气井生产，提出拟合井底压力的方法，得到一种专门针对无限导流垂直裂缝模型的多产量测试产能预测模型。

Taking a single disk rotor with hinged ends as research object, to a different forward and backward whirling type the effect and its innate laws of the magnitude and acting direction of the constant torque on the stability are proposed by means of the eigenvalue theory of real linear systems.

以两端简支的单圆盘转子为对象，利用非线性振动理论的多尺度方法，研究了简谐扭矩作用下具有时变参数激励系统的近似解，指出系统出现不稳定组合式共振的可能性并给出了定常扭矩、简谐扭矩、外阻尼对不稳定区域边界条件的影响。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。