1) bounded polynomial systems
平面有界多项式系统
3) plane homogeneous polynomial systems
平面齐次多项式系统
4) planar polynomial differential system
平面多项式微分系统
1.
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。
2.
This thesis is devoted to center-focus determination and bifurcation of limit cycles from the equator in planar polynomial differential systems.
本论文研究平面多项式微分系统的中心焦点判定与赤道极限环分支,由七章组成。
3.
This thesis is devoted to the problems of integral conditions, center-focus determination and bifurcation of limit cycles at the origin and the infinity of planar polynomial differential system.
本文主要研究平面多项式微分系统原点与无穷远点的中心焦点的判定及可积性条件与极限环分支问题,全文由四章组成: 第一章对平面多项式微分系统的中心焦点的判定与极限环分支问题的历史背景与研究现状进行了的概述,并将本文所做的工作进行了简单的介绍。
5) planar quadratic polynomial differential systems
平面二次多项式微分系统
1.
The x coordinates of limit cycle phase portraits for planar quadratic polynomial differential systems are supposed as the generalized harmonic function.
平面二次多项式微分系统极限环的数目、函数表达式、在相平面上的形状和位置,及其在参数平面上的分岔曲线等,对应用科学,例如非线性振动、生态学或生物学等领域有重要意义。
6) planar polynomial differential autonomous system
平面多项式微分自治系统
1.
This thesis is devoted to qualitative analysis for some planar polynomial differential autonomous systems.
本文对几类平面多项式微分自治系统进行了定性分析,全文由四章组成。
补充资料:多项式乘多项式法则
Image:1173836820929048.jpg
先用一个多项式的每一项乘以另一个多项式的每一项,再把所得的积相加。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。