多项式方程

The number and stability of the limit cycles of a class of polynomial system with degree n are studied under some conditions by means of the results about Abel equation.

并利用关于Abel方程的这些结果得到了一类n次多项式系统在一定条件下极限环的个数和稳定性。

In the fourth chapter, some general equations are studied, of which Abel equation and some equations that have been intensively studied are the special cases.

第三章利用Abel方程已有的结果来讨论多项式系统的极限环的存在性，个数和稳定性，推广了水树良和蔡燧林的相关工作。

The proposed algorithm use the related deduction of division with reminder of polynomials and the key equation is solved by column transformation of matrix. Then the formula of quotient and reminder can be got quickly which can reduce the times of iterative operation.

该算法利用多项式带余除法的相关推论，通过矩阵的列变换来求解关键方程，这样可以快速地得到商式和余式，从而可以减少迭代运算的次数。

The distribution of the associated characteristic equation roots is given according to the polynomial theorem, and the conditions for ensuring the existence of Hopf bifurcation are obtained. The obtained result is applied to chaotic control.

利用多项式理论给出了其特征方程根的分布，得到了Hopf分岔产生的条件，并将结果应用到混沌神经网络的控制中。

Where h and k are the Love numbers appropriate for the satellite, Me is the mass of the Earth, Rm is the radius of the satellite and P20 is the l = 2, m = 0 associated Legendre polynomial.

Me是地球质量，Rm是卫星半径，P20是勒让德多项式在L=2，m=0时的解（相关内容参考这个链接： http：//en.wikipedia.org/wiki/Legendre_polynomials ，它是球对称条件下的常见的微分方程的解——gohomeman1注）。

For the beam buckling problem, this paper presents the Barycentric Lagrange interpolation collocation method to get the differentiation Matrix of unknown function.

采用重心Lagrange插值多项式建立未知函数的微分矩阵，采用配点法将梁的控制方程表示为代数方程组。

The bifurcation theory of the plane polynomial vector fields is one important research domain of the theory of ordinary differential equation.

平面多项式向量场的分岔理论是常微分方程定性理论的重要研究领域之一，主要研究依赖于参数的向量场的全局轨线拓扑结构随参数变化的规律。

In the previous work [1], we have considered a wild class of polynomial maps which turns into a class of difference equations and showed that for any dynamical systems from this class, the nonwandering set is bounded.

在[1]中，我们考虑一大类能够转成差分方程的多项式动态系统，且证明此类的动态系统的非游荡集是有界的。

In the numerical calculations,the unknown density of dislocation is approximated with the product of fundamental function and Chebyshev polynomials.The calculations show the present method yields rapidly converging and high accurate numerical results.

在数值求解这组奇异积分方程中未知位错分布密度近似为基本密度函数与Chebyshev多项式之积，计算表明，本文方法的数值结果不但收效快而且精度高。

The second, according to mapping function of blank and product sections, and to many interpolating functions along model-cavity vertical surface, paper has built mathematics model, fluid surface function of special-shaped product plastic deformation and velocity field, gotten basis theory for metal forming prediction, for example empty drawing metal pipe thickness homogeneity and special-shaped product fluid regular, die parameter optimization and integration research of die CAD/CAM.

根据拔制坯料和制品截面映射函数和模腔纵向多种插值函数（直线型、凸型、凹型和三次多项式型），建立了相似异型材、圆形坯料——异型材和异型材——异型材三维金属拔制塑性成形的数学模型和异型材塑性成形的流面方程及流动场方程，为预报金属成形规律（如：空拔管壁均化、异型材流动规律），模腔参数优化及其CAD／CAM一体化研究提供了理论基础。

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。