轨线

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。

For this bilinear system, the optimal trajectorytracking method is used to suppress the decoherence effects brought by the environ-mental noises.

针对这个双线性系统，采用最优轨线跟踪的方法抑制环境噪声的影响。

This text utilizes the stability theory of differential equation, establishes the mathematical model of praying on the relation among the living beings, then according to the characteristic of differential equation group set up, through analyze to its equalization point,discuss the rail line distribution situation and overall stability, studies the dynamic change situation of every species during sufficient long time slot.

摘要本文利用微分方程稳定性理论，建立生物间捕食关系的数学模型，然后根据建立的微分方程组的特性，通过对其平衡点分析，轨线分布情况以及全局稳定性的讨论，研究出各物种在充分长时间段中的动态变化情况。

Based on the desired trajectory and real output dynamical information of the control system, a basic iterative learning control algorithm is suggested, its ε-convergence is derived, and the interval length of local symmetrical double integral is determined.

基于理想轨线与控制系统的实际输出动态信息，提出基本的迭代学习控制算法并分析和论证算法的收敛性，给出局部对称积分区间参数的确定策略。

Based on the desired trajectory and real output dynamical information of the control system, a basic iterative learning control algorithm is suggested, its e-convergence is derived, and the interval length of local symmetrical double integral is determined.

基于理想轨线与控制系统的实际输出动态信息，提出基本的迭代学习控制算法并分析和论证算法的收敛性，给出局部对称积分区间参数的确定策略。

In this paper, the nonexistence of the closed orbit which circles the equilibrium is proved by using the Dulac function, then all the orbits of the system are bounded by the Filippov transformation and comparability theorem.

本文利用Dulac函数法，首先判定了不存在绕平衡点的闭轨线，然后利用Filippov变换和比较定理，证明了系统所有轨线的有界性，进而得到了平衡点是全局渐近稳定的。

A curve that cuts all of a given family of curves or surfaces at the same angle .

常角轨道，轨线以同样的角度切割给定系统所有曲线或平面的曲线

While there has no control, the behavior of the system is discussed in Chapter 3. No defines in the point (0,0) of the system brings much difficulties in the research on the kinetic nature near (0, 0). By applying the series theories and methods in the literature on the singular point of nonlinear equations, we solve this problem satisfactorily and give the all possibility of the orbits of the system converging (0,0) as t→+∞ in the First Quadrant.

因为系统在(0，0)点处没有定义，这给研究其在(0，0)附近的动力学性质带来了困难，我们应用文献中关于研究非线性方程奇点的系列理论和方法，圆满解决了这一问题，给出了第一象限当t→4+∞时，在全参数状态下系统的轨线趋于(0，0)点的所有可能情况。

By Llibre's algebraic invariant theory, at first on the basis of classification for quadric and quadric homogeneous binary polynomial, the plane linear and cubic homogeneous polynomial differential systems are classified.

利用Llibre的代数不变式理论，首先由二元二次和二元四次多项式的分类结果，对一次和三次齐次多项式微分系统进行代数分类，同时补充了已有结果中出现的漏洞；其次，由称共变张量空间的性质，对缺二次项的三次微分系统在保证轨线走向不变的前提下进行代数分类，使分类后同类系统的示性多项式有相同零点；最后通过讨论一类简单系统的有界性说明了分类的方便方处。

The method using microcomputer to draw the phase graph of autonomous system on plane of ordinarily differential equation is studied,first a large number of data of orbit are obtained by an appropriate method of numerical calculation from known initial condition,then computer draw the curve of orbit on screen by these data.

研究利用微机绘制常微分方程平面自治系统相图的方法，首先用一种合适的数值算法由已知的初始条件得到轨线的大量数据，再利用这些数据在计算机屏幕上画出轨线的图形。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。