phase portrait 中文意思是什麼
phase portrait
解釋
相圖-
Finally, this paper set up the substitute model between the new technology and the old one and studied characteristic of the diffusion system applied system dynamic method such as the stable points and phase portrait and hopf bifurcation and limit cycle of it. then studied the probability distribution function of them, and the probabilistic equation of this system
最後建立了四川大學碩士畢業論文創新技術和舊技術的技術更替模型，並運用系統動力學的方法分析了擴散系統在其不動點附近的變化特徵和相圖以及改進系統的hopf分支、極限環等性質，討論了新舊技術的概率分佈，並且將動力學方程轉化為概率方程進行分析。 -
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
第一部分介紹了hilbert第16問題以及它的研究與發展現狀，給出了近年來利用李繼彬提出的判定函數法得出的z _ q -等變（ g = 2 ， 3 ， 5 ， 6 ）的5次系統關於它的第二部分的研究結果；第二部分介紹了z _ q -等變向量場以及判定函數法，給出了7次平面多項式系統的所有非平凡z _ q -等變向量場具有的形式；第三部分給出了一個7次平面擾動hamilton系統，研究了它的具有最大中心數的未擾動系統（ z _ 7 -等變）的全局象圖，得到了9種不同的拓撲圖形。 -
In this paper, we mainly discuss the topological structure of several classes of special fourth polynomial differential systems with the first and the third critical singular point. as in paper [ l ], mr han yuliang have discussed the system in the first critical case and the system in the third critical case ( where b, a30 0 in system ( l ) and ( 2 ) ) here, we use the tools and method of paper [ l ], to study the system where, 040, b04r - { 0 }, where, 640, ao4r - { 0 }, 631, 622513, b04er for the system ( 3 ) and ( 4 ), because of their only one finite singular points, and they are saddle - nodes, we can easily give the result that there is no limit cycle in their phase portrait
本文主要是研究在第一及第三臨界情形下的幾類特殊四次多項式微分系統的全局拓撲結構，在文獻中，韓玉良主要考慮了第一臨界情形下的系統及第三臨界情形下的系統的全局結構，並畫出它們所有可能的全局相圖， （在（ 1 ） ， （ 2 ）中， b ： a _ （ 30 ） 0 ）本文根據文獻的工具和方法，考慮系統：其中，以及系統其中，這樣，由於等號右端多項式次數的增加，極限環的存在性問題變簡單了，但討論系統的全局結構時，特別是作全局相圖時，難度增大了。
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