探讨Abel积分零点的一个定理

本文研究了具有中心环域的可积多项式系统,探讨此系统在用多项式进行微扰的情况下,其所对应的Abel积分的零点个数的计算方法,给出了一个较为实用的定理,并举出了若干个应用的例子．     

关于Noetherian环上拓扑滤子交换性的一个注记

Let R be a ring with identity,and R-fil denote the set of all left topolo-gizing filters on R.In this paper,we give a sufficient condition for the commutativityof R-fil under the hypothesis of left Noetherianness,as well as some examples.     

THE PROBLEM OF LIMIT CYCLES FOR A LIENARD TYPE CUBIC SYSTEM

The purpose of this paper is to study a general Lienard type cubic system with one antisaddle and two saddles. We give some results of the existence and uniqueness of limit cycles as well as the evolution of limit cycles around the antisaddle for system (2) in the following when parameter a1 changes.     

Synchronization of Chaotic Storage-Ring Free-Electron Laser by Bi-Directional Coupling Scheme with the Coupling Strength Varied Periodically

We analyse the chaotic dynamics of storage-ring free-electron lasers and report a bi-directional coupled scheme with the coupling strength varied periodically to synchronize two chaotic storage-ring free-electron lasers. The period is the same as the period of system＇s external modulation. ,The possibility of synchronization is proven according to the Lyapunov stability theory. The results of numerical simulation are obtained. Both the numerical simulation and theoretic analysis show that two storage-ring free-electron lasers can be controlled in the synchronization in a short time with this method.     

极限环和拟旋转向量场

本文定义了平面上的拟旋转向量场,研究在拟旋转向量场中极限环随参数的变化情况,证明它具有和旋转向量场完全族类似的性质.     

牛顿环中心暗斑大小对测量结果影响的研究

本文分析了牛顿环中心暗斑大小对测量结果的影响,并给出了解决方法。     

三分子模型的定性分析

本文研究了三分子模型: dx/dt=ax-bx-xy~2 dy/dt=bx+xy~2-y得到了如下极限环存在唯一的条件。 1)当a>2b时,(1)存在唯一的稳定极限环。 2)当a≤2b时,(1)不存在极限环。     

高立体选择合成N,N′-取代-双-(反式-β,γ-二取代-γ-丁内酰胺)的简便方法(英文)

顺式 -1 -甲氧羰基 -2 -芳基 -6 ,6 -二甲基 -5 ,7-二氧螺环 [2 ,5 ]-4 ,8-辛二酮与联苯二胺 ( 0 )或 4 ,4′-亚甲基二苯胺 ( 1 )在二氯甲烷中 ,4 0℃搅拌反应合成得到化合物 0和 1 ,干燥后进一步在二甲苯中回流即可得到N,N′-取代 -双 -(反式 -β,γ-二取代 -γ-丁内酰胺 ) ( 0或 1 ) ,得率高 ,立体选择性好 ,方法简便