变向量 meaning in English
variable vector
Examples
- Covariant vector function
共变向量函数 - Contravariant vector field
反变向量场 - The classification of phase portraits about some hamiltonian vector field with z3 - equivariant property
等变向量场的相图分类 - The paper consists of two parts . in the first part , the definitions of zq - equivariant vector fields and the method of detection functions are stated . in the second part , a concrete numerical example of z8 - equivariant perturbed planar hamiltonian system of of degree 7 is constructed , and for the unperturbed vector field having maximal number of centers , its global phase portraits are analyzed
本文由两部分组成，第一部分为综述，介绍了z _ q -等变向量场以及判定函数法；第二部分首先讨论了一类7次z _ 8 -等变的平面hamilton系统，研究了具有最大中心数时的hamilton系统可能存在的部分全局象图。 - In the first part , hilbert ' s 16th problem and the studies on it are introduced , and the results of zq - equivariant vector fields of degree 5 ( q = 2 , 3 , 5 , 6 ) are given . in the second part , the definitions of zq - equivariant vector fields and the method of detection functions are stated , and all the forms of nontrivial zq - equivariant planar polynomial vector fields of degree 7 are obtained . in the third part , a concrete numerical example of zt - equivariant perturbed planar hamiltonian system of degree 7 is constructed , and for the unperturbed vector field having maximal number of centers , its global phase portraits are analyzed ( having at least 9 topologically different phase portraits ) . then , for a given parameter group , its phase portrait trend is studied
第一部分介绍了hilbert第16问题以及它的研究与发展现状，给出了近年来利用李继彬提出的判定函数法得出的z _ q -等变( g = 2 ， 3 ， 5 ， 6 )的5次系统关于它的第二部分的研究结果；第二部分介绍了z _ q -等变向量场以及判定函数法，给出了7次平面多项式系统的所有非平凡z _ q -等变向量场具有的形式；第三部分给出了一个7次平面扰动hamilton系统，研究了它的具有最大中心数的未扰动系统( z _ 7 -等变)的全局象图，得到了9种不同的拓扑图形。