宿分

In Chapter 3, a certain polynomial Hamilton system with 3 degree is given. By elliptic integral formulas, the monotonicity of the periodic orbits of this system is verified.

在众多文章中，讨论次谐轨的分岔都需要一个条件，那就是在同宿轨附近的周期轨是单调的，第三章给出了一个具体的三次平面Hamilton系统，利用椭圆积分公式验证了这个系统的一对同宿轨附近的周期轨的周期是单调的，这包含了三种情况，周期轨在右边同宿轨内部，在左边同宿轨内部以及在整个同宿轨圈外部。

In particular, the system generates bifurcation when 2c-a=0, and then the stable knot bifurcates a hyperbolic saddle point and stable convergence, which is so-called Pitchfork bifurcation. From 2c-a≤0 to 2c-a≥0, the attracting set A of the system is changed from single point to the union set of two different old orbits.

系统在2c-a=0时产生分岔，其稳定的结点分岔出一双曲鞍点和两个稳定的汇，这就是Pitchfork分岔，可见在2c-a≤0变化到2c-a≥0时，吸引集A从单点集变成为连接P和P的两异宿轨道的并。

It includes the undertermined fundamental frequency approaching zero and the collision of the periodic orbit with the saddle point.

然后分别依据系统的待定固有频率趋于零和周期轨道趋近于鞍点两条途径获得了强非线性振动条件下系统同宿分岔的解析判据。

In chapter 3,we dig out two families of invariant quartic curves of a quadratic system.

第五章讨论向量场具有对称中心的二次系统，利用系统的不变双曲线及不变四次曲线，我们确定了一个对应极限环（1.1）分布的二维参数区域，其边界的构成为如下几种常见的极限环分枝：霍夫分析，庞加莱分枝，同宿分枝和异宿分枝。

From 2006 to 2008,a regional trial including 12 new sugarcane varieties and 2 check varieties was conducted for 2 plant crops and 1 ratoon crop in Longan county,Guangxi.The results showed that the variety,MEX105 was superior in average sucrose yield and average sucrose content,there was a significant increase in both cane and sugar yields.

2006～2008年间，在广西隆安县对12个参试材料和2个对照品种进行了2年新植和1年宿根的区域试验，结果表明：MEX105新宿平均含糖量和甘蔗蔗糖分最高，比对照增产增糖明显。Q170平均蔗茎产量最高，新宿平均含糖量高于两对照，比对照增产增糖较大。

Melnikov method is employed to study the bifurcations and chaos of homoclinic and subharmonic orbits for two pendulum systems.

用Melnikov方法研究具有弱阻尼与参数激励的单摆以及倒摆运动的同宿轨道分岔、次谐分岔和混沌现象，得到了发生同宿轨道分岔、次谐分岔和混沌的临界参数，并将所得理论结果与倒摆运动的实验结果进行了比较与讨论。

At first, we give the more precisely expression of the system in some sufficiently small neighborhood of the saddle point under some suitable transformation, and use the foundational solutions of the linear variational equation of the unperturbed system along the homoclinic or heteroclinic orbits as the demanded local coordinate system.

首先，我们在鞍点的充分小邻域内给出系统在适当的变换下的更加精确的表达形式，利用未扰系统沿同宿，异宿环的线性变分方程的基本解组作为系统在同宿，异宿环的小管状邻域内的新的局部坐标系。

Leaves borne on current year's branches, crowded, sessile, persistent on old branches after withering; spring leaves at base of current year's branches and similar or different from summer leaves; leaf blade linear, linear-needlelike, or linear subulate, usually very shallowly obdeltate to subcomplanate in cross section, apex usually pointed to awned.

叶生于当年分枝，密集，无梗，在老枝上宿存在之后蔑视；当年分枝的春天叶在基部和不同于夏天叶的相似的或；叶片线形，线形，钻形的或线形，浅非常通常在subcomplanate在横断面上，先端通常指向具芒。

Fruit drupaceous, of separating mericarps or ± completely syncarpous, drying brown to black or rarely pale gray-brown when ripe; abortive carpels, if any, persistent; outer pericarp ± fleshy; endocarp bony next to locule, otherwise woody, in mericarps developed from 2-ovuled carpels forming a median longitudinal partial partition within locule.

果核果状，有分离的分果瓣或者多少完全的合心皮，成熟后变干，棕色或黑色，很少灰棕色；败育心皮，如果有的话，宿存；外部果皮多少肉质；内果皮骨质或木质，在分果瓣里内果皮由2胚珠的心皮在每室内形成中间的分隔。

Moreover,in this dissertation,a method ispresented to control safe basin with the fractal erosion,that is by the application ofthe weak parameter periodic perturbation with an optimal frequency to control thefractal erosion basin,and the analytical study shows that the essence of the methodis that the parameter periodic perturbation can be used to delay the occurrence ofhomoclinic tangencies.

并且在本文提出了一种对分形侵蚀安全域进行控制的方法，那就是应用具有最优频率的参数周期扰动对于已受到分形侵蚀的安全域加以控制，在理论分析中得到这种控制分形侵蚀安全域的方法实质上延缓了鞍点同宿相切的发生，同时考虑了外加噪声对控制后安全域的影响，得到这种控制方法具有很好的鲁棒性。

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。