高階奇點 的英文怎麼說
中文拼音 [gāojiējīdiǎn]
高階奇點
英文
point of higher singularity- 高 : Ⅰ形容詞1 (從下向上距離大; 離地面遠) tall; high 2 (在一般標準或平均程度之上; 等級在上的) above...
- 階 : 名詞1. (臺階) steps; stairs 2. (等級) rank 3. [醫學] (耳蝸的三個螺旋管的任一個) scala 4. [數學] order 5. [地質學] stage
- 奇 : 奇Ⅰ形容詞1 (罕見的; 特殊的; 非常的) strange; queer; rare; uncommon; unusual 2 (出人意料的; 令...
- 點 : Ⅰ名詞1 (液體的小滴) drop (of liquid) 2 (細小的痕跡) spot; dot; speck 3 (漢字的筆畫「、」)...
- 高階 : high [higher] order高階導數 higher derivative; higher order derivative; derivative of higher orde...
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In this paper, we discuss a certain plane quartic system with stellar node : in study, we obtain the global phase portraits of the system, its corresponding algebraic conditions and some results about its structural stability
至今為止,對系統( 0 1 )的比較系統的研究成果基本上還是空白,這主要因為系統的未知參量過多,利用高階奇點理論研究系統全局結構十分困難。We study the singular perturbation of boundary value problem for a class of higher order ordinary differential equation, the solution is shown to exhibit double layer behavior
摘要研究一類高階微分方程兩點邊值問題的奇攝動,揭示了其解分別在兩端點呈現雙重邊界層的性質。Firstly, the first eight singular point quantities are computed and conditions for infinity to be a center are deduced as well, then a system that bifurcates eight limit cycles in the neighborhood of infinity are constructed
首先通過同胚變換將系統無窮遠點轉化成原點,然後求出該原點的前8奇點量,從而導出無窮遠點成為中心和最高階細焦點的條件,在此基礎上給出了五次多項式系統在無窮遠點分支出8個極限環的實例。By the way, there is something deserves to be mentioned : by means of transcritical bifurcation, we get a special type of critical point
值得一提的是,為了完整地得到系統的全局拓撲結構,本文利用跨臨界分支定理得到了一種特殊的高階奇點類型,即復雜奇點及復雜奇點。A class of boundary problems of singular perturbation with a higher - order turning point and resonance
一類具有高階轉點的奇攝動邊值問題與共振Based on the uniformly extended system and pseudo - arclength continuation, an uniform algorithm is given. before showing the numerical examples we discuss the relation between the singularities in the original problem and the uniformly extended system, which is very important for our algorithm
為了克服正則擴展系統方法的缺點,我們提出確定奇異性的普適擴展系統,結合同倫參數的擬弧長延拓,給出了計算各類高階奇異點的一個統一演算法。Second, a numerical method for computing the higher order singular points of the nonlinear problems with single parameter is considered. based on the uniformly extended system and pseudo - arclength continuation, an uniform algorithm is given. numerical examples are computed to show the effectiveness of our algorithm
第二部分我們考慮計算單參數非線性問題中高階奇異點的計算方法,基於確定奇異點的一個普適的擴張系統,結合同倫參數的擬弧長延拓,給出了計算各類高階奇異點的一個統一演算法,通過數值例子說明了演算法的有效性。It is shown that the origin is indeed a critical point of higher order. there exsist different kinds of topological structures in a neighborhood of the origin
原點是一個高階奇點,在它的鄰域內存在多種拓撲結構。In the first part of this paper, resorting to the idea of hadamard principle value and induction, we discuss the inductive definition, existence of hadamard principle value, recursive formula, computation formula, differential formula on the sense of hadamard principle value for several kinds of quasi - bochner - martinelli - type high order singular integrals with one singular point
本文藉助于高階奇異積分的hadamard主值的思想以及歸納法的思想,在第一部分討論了幾類含一個奇點的擬bochner - martinelli型高階奇異積分的歸納定義, hadmard主值的存在性,遞推公式,計算公式,以及在hadamard主值意義下的微分公式。Then, in the second part, the above properties of quasi - bochner - martinelli - type high order singular integrals with two singular points are discussed
在第二部分討論了帶有兩個奇點的擬bochner - martinelli型高階奇異積分的上述性質。Computation of higher order singular points in nonlinear problems with single parameter
單參數非線性問題中高階奇異點的計算First, we do not know what kind of bifurcation will happen in advance, it is difficult to choose what kind of regular extended system for detecting them. second, if there are higher order singularities, even the multi - dimensional null space, one parameter is not enough for establishing a regular extended system
首先考慮單參數非線性問題,如果參數的個數足夠多,在延拓過程中通過求解各種正則的擴展系統可以求出方程解枝上存在的各種高階奇異點,例如高階折疊點、橫截式分歧點、音叉式分歧點等。分享友人