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无穷远点

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A recursive formula is derived to compute singular point values at infinity.

摘 要:研究了一类三次系统无穷远点的极限环分支问题。

Derive some new conditions on existence of eight limit cycles for a cubic system.

刘一戎。一类高次奇点与无穷远点的中心焦点理论。

The use of elementary geometry method can give conform al demonstration of lineal function in infinite eigenvector.

用初等几何方法给出线性函数在无穷远点的保角性证明。

At the same time the new algorithm is applied to find necessary conditions for such isochronous center, then proofs of isochronicity of these systems by using some effective methods are given.

同时通过一种最新算法求出无穷远点为中心时的周期常数,得到了拟等时中心的必要条件,并利用一些有效途径一一证明了条件的充分性。

At last, the isochronous center of infinity of a class of quintic systems is studied and all conditions of center and isochronous center are obtained for infinity of this system, which is the first time for the research on the isochronous center of infinity.

最后,研究了一类实平面五次系统的无穷远点的等时中心,给出了系统无穷远点为中心和等时中心的全部条件。这是迄今对无穷远点等时中心进行的首次研究。

The result with the reference of a point at infinity was derived from a newly proposed reference electrode standardization technique based on the equivalent distributed source theory.

其中无穷远点参考是通过一种基于等效分布源理论建立的参考电极校正技术处理后得到的。

Using the recursive formula and computer algebra system-Mathematica, the first six singular point values at infinity of the system are given.

对一类三次系统给出了计算无穷远点奇点量的递推公式,并在计算机上用计算机代数系统Mathematica推导出该系统无穷远点的前6个奇点量,进而导出了无穷远点成为中心和最高阶细焦点的条件,在此基础上得到了一个三次系统在无穷远点分支出6个极限环的实例,指出了极限环的精确位置。

The results of the two sorts of references both indicated that P1 and N1 relatively enhanced in selective attention, but there still had a little difference, in the case of a point at infinity reference, the enhancement of P1 was more obvious and P2 appeared in both attended and unattended cases.

结果表明,两种参考电极一致地在选择性注意中产生P1,N1的相对增强反应,但也略有差异,其中以无穷远点为参考的结果中,P1的相对增强更加明显,P2能较好地同时出现在注意与非注意两种条件下。

This thesis is devoted to the problems of integral conditions, center -focus determination and bifurcation of limit cycles at degeneratesingular point and the infinity of planar polynomial differential system.

本文主要研究平面多项式微分系统退化奇点与无穷远点的可积条件以及中心焦点判定与极限环分支,全文由七章组成。

In Chapter 4, we study the center conditions and the bifurcation of limit cycles at a degenerate singular point as well as that at infinity for a quintic polynomial system and prove that the system has 5 limit cycles around the origin and 2 limit cycles around infinity.

在第三章中,我们分别研究了一类三次多项式系统、一类五次多项式系统、一类七次多项式无穷远点的中心条件与极限环分支问题。

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