鞍點方程 的英文怎麼說
中文拼音 [āndiǎnfāngchéng]
鞍點方程
英文
saddle point equation-
This paper is concerned with, the existence and stability of travelling wave solutions for the viscous balance law which is an extension of viscous conservation law where a reaction term g ( u ) is added. l ) the existence of travelling wave solutions by geometric singular perturbation method, we investigate the existence of travelling waves ( a2 ) connecting a saddle point and a sink point and the existence of viscous shock waves c connecting two adjacent or disadjacent saddle points. by giving a detailed analysis of the fast and slow manifolds and verifying the transversality of the intersection of singular stable and unstable manifolds of the reduced problem along the singular heteroclinic orbit, we obtain the existence of travelling waves ( a2 ) in the case of a convex flow function / and that of viscous shock waves c under the assumption that f " is bounded
主要結果如下： 1 ）行波的存在性本文利用[ 37 ]中幾何奇異攝動理論，通過仔細分析= 0時的快流、慢流，驗證= 0時慢流方程的穩定與不穩定流形橫截相交於奇異異宿軌道，先在f為凸的條件下嚴格證明了（ ）存在連接不相鄰的鞍點、結點的行波（ a2 ） ；然後在地f有界的條件下得到（ ）存在連接鞍點（包括相鄰和不相鄰）的粘性沖擊波c ，彌補了[ 11 ]缺少嚴格證明的不足，並推廣了[ 11 ]在f為凸的條件下得到的粘性沖擊波的存在性結果。This text contents is divided into four big parts totally, first, begin with analytic concept in results in governmental affairs in electronics and methods from the concept of the electronics governmental affairs, pass to analyze the electronics governmental affairs characteristics with the urgent of the electronics governmental affairs performance evaluation, expatiated the electronics governmental affairs to should make a point of the important meaning of the results in develop process ; the next in order, essentials a present condition for introducing saddle mountain city industry and business bureau and its electronics governmental affairses putting into practice, then pass to wait five aspects from the customer approval analysis, cost ? income analysis, operation performance analysis, social performance analysis, political performance analysis, puts to the saddle mountain industry and business bureau into practice in detail electronics 政 results analysis ; finally, emphasized to analyze the problem exsited in the saddle mountain city industry and business bureau electronics governmental affairs developments process, and homologous the results of exaltation of what time solution
本文內容共分四個大部分，首先，從電子政務的概念和電子政務績效分析的概念及方法著手，通過分析電子政務特點和電子政務績效評估的緊迫性，闡述了電子政務在發展過程中應注重績效的重要意義；其次，概要性地介紹了鞍山市工商局及其電子政務實施的現狀，然後通過從用戶滿足度分析、成本?收益分析、運作效益分析、社會效益分析、政治效益分析等五個方面，具體地對鞍山工商局實施電子政性了績效分析；最後，著重分析了鞍山市工商局電子政務建設過程中存在的問題，以及相應的提高績效的幾點解決方案。This text contents is divided into four big parts totally, first, begin with analytic concept in results in governmental affairs in electronics and methods from the concept of the electronics governmental affairs, pass to analyze the electronics governmental affairs characteristics with the urgent of the electronics governmental affairs performance evaluation, expatiated the electronics governmental affairs to should make a point of the important meaning of the results in develop process ; the next in order, essentials a present condition for introducing saddle mountain city industry and business bureau and its electronics governmental affairses putting into practice, then pass to wait five aspects from the customer approval analysis, cost ? ? income analysis, operation performance analysis, social performance analysis, political performance analysis, puts to the saddle mountain industry and business bureau into practice in detail electronics 政 results analysis ; finally, emphasized to analyze the problem exsited in the saddle mountain city industry and business bureau electronics governmental affairs developments process, and homologous the results of exaltation of what time solution
本文內容共分四個大部分，首先，從電子政務的概念和電子政務績效分析的概念及方法著手，通過分析電子政務特點和電子政務績效評估的緊迫性，闡述了電子政務在發展過程中應注重績效的重要意義；其次，概要性地介紹了鞍山市工商局及其電子政務實施的現狀，然後通過從用戶滿意度分析、成本? ?收益分析、運作效益分析、社會效益分析、政治效益分析等五個方面，詳細地對鞍山工商局實施電子政性了績效分析；最後，著重分析了鞍山市工商局電子政務建設過程中存在的問題，以及相應的提高績效的幾點解決方案。Using the roots of equations : f1 ( u ) = u5 - nu4 - mu3 - lu2 - ku - 1 f2 ( u ) = u5 + nu4 + mu3 + lu2 + ku + 1 f1 ( v ) = v4 + kv3 + lv2 + ( m + l ) v + n f2 ( v ) = v4 + kv3 + lv2 + ( m - l ) u + n we discussed all possible infinite singular points, and according to this, we drew out all kinds of phase portraits of them
系統（ 3 ） ， （ 4 ）都是只有一個唯一的有限遠奇點，且都是鞍結點的四次微分系統，這兩類系統都是無極限環的四次系統。利用系統的poincar變換，以及方程人（ 。 ）一。This paper proposed the principle of the saddle point algorithm, discussed the developing method about the new solver, provided the flow chart and the computational results of the new solver
摘要闡述了線性規劃鞍點演算法原理，討論了解題器各模塊的設計方法，給出了軟體流程圖和實驗結果。Especially, when the isocline of x is monotone decreasing in 0 < x < 1, the svstem has no limit cycle and is globally stable ; next, we construct a saddle bifurcation at the boundary equilibrium and a degenerated bogdanov - takens bifurcation at the interior equilibrium by choosing appropriate parameter values in the following two sections, where our work are based on the theory of central manifolds and normal torms. we prove that is a codimention 3 focus - type equilibrium. system ( 6. 1 ) will have two limit cycles at some appropriate bifurcation parameter values, and have homoclinic or double - homoclinic orbits at some other appropriate bifurcation parameter values ; at last, we study the qualitative properties of the system at infinite in the poincare sphere
因為系統在（ 0 ， 0 ）點處沒有定義，這給研究其在（ 0 ， 0 ）附近的動力學性質帶來了困難，我們應用文獻[ 17 ]中關于研究非線性方程奇點的系列理論和方法，圓滿解決了這一問題，給出了第一象限內當t +或t -時，在全參數狀態下系統的軌線趨于（ 0 ， 0 ）點的所有可能情況，其相圖也得以描繪；並且，系統不存在極限環的幾個充分條件我們也予以列出，當x的等傾線在0 x 1范圍內遞減時，系統不存在極限環，全局漸近穩定；然後，我們以中心流形定理和正規型方法為主要工具，巧妙選擇參數，分別構造了一個余維2的鞍點分岔和一個余維3退化bogdanov - takens分岔，證明了平衡點是余維3的焦點型平衡點，存在參數， m ，的值使得系統（ 6 . 1 ）有兩個極限環，還存在參數， m ，的另外值使得系統（ 6 . 1 ）有同宿軌或雙同宿軌。So far, there is no effective method for the computation of focus quantities and saddle quantities. compared with the work of other authors, complex nonlinear integrating operation and solving multivariate linear equations are avoided in computation, which are necessary in more usual approaches. the calculation and simplification of focus quantities can be readily done with these formulas and computer symbol operation systems
焦點量與鞍點量的計算至今尚無有效的方法，對比以往其他作者的工作，在計算方法上，我們避免了通常計算焦點量需要的非線性積分運算和求解多元方程組，使得焦點量極易在計算機上應用計算機符號運算系統進行快速計算和化簡。分享友人