singular perturbation method 中文意思是什麼

singular perturbation method 解釋
奇性擾動法
  • singular : adj 1 唯一的，獨一的，單獨的，一人的，一個的；【法律】各自的，各個的；【邏輯學】單稱的；【語法】...
  • perturbation : n. 1. 慌張，動搖；混亂。2. 狼狽，不安，焦慮。3. 引起不安[混亂]的事物；引起動搖的原因。4. 【天文學】攝動；【物理學】微擾。adj. -al
  • method : n 1 方法，方式；順序。2 （思想、言談上的）條理，規律，秩序。3 【生物學】分類法。4 〈M 〉【戲劇】...
  1. 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。
  2. By using the asymptotic analysis method and the diagonalization technique, considers the singular perturbation of boundary value problem for system of third order nonlinear integro - differential equation. under appropriate assumptions, the existence of the solution of perturbation problem has been proved and a asymptotic expansion of the solution and the estimation of the corresponding remainder term are geven as well

    研究三階非線性積分微分方程組邊值問題的奇攝動.在適當的條件下，利用漸近分析方法和對角化技巧，證得解的存在性並給出解的漸近展開式及其餘項估計
  3. A general matrix perturbation method for complex modes using singular value decomposition

    基於奇異值分解的復模態矩陣攝動法
  4. And beginning with a perturbed nls equation, using a multi - scales perturbation expansion, we get the zero order and the first order equations, discuss the eigenstates of the operator in the equations, induct relevant " derivative states ", form the completeness of the bounded eigenstates of the associated operator in li space, and expand the corresponding parameters in the closure, get a series evolution equations of the coefficients in the expanded formulas, find the first order approximate solution by researching the evolution equations. this paper also gives the basis of this method - the completeness we have formed and the singular perturbation technique

    ） dinser方程的求解問題，討論了自伴運算元的本徵函數的正交性和完備性，介紹了尋求微分方程的近似解常用的攝動方法，並從帶有某種擾動項的nls方程出發，利用多重尺度的攝動方法得到了方程的零級近似方程和一級近似方程，通過對近似方程中運算元的特徵態的討論，引入適當的「導出態」 ，建立了運算元在l _ 2空間的特徵態的完備性。
  5. Necessary conditions for invoking the singular perturbation theory in the theory of the pebs method

    法理論中應用奇異攝動理論的必要條件
  6. 2 ) based on the maxwell equations of nonlinear media, high - order coupled equations governing the evolution of two orthogonal polarization components of the same wave are derived by using multi - dimension derivation expansion method of singular perturbation theory, and the suitable application range is presented

    2 ）利用奇異攝動多重尺度導數展開法，從非線性介質中的maxwell方程組出發，導出了包含高階攝動項的同一光波不同偏振分量的耦合高階非線性薛定諤方程，並給出了其適用范圍。
  7. Balanced reduction method for high order systems with singular perturbation

    高階系統的奇異攝動模型的平衡降階
  8. Singular perturbation method

    奇異微擾法
  9. In addition, the model is decomposed into the slow and fast subsystems using singular perturbation theory and output re - definition method

    另外，利用輸出重定義對柔性臂模型進行進一步的奇異攝動分解，將系統模型分解為與剛性臂降階快子系統模型和慢子系統模型。
  10. The influence of optical source chirp on femtosecond soliton interaction is studied numerically, and the unequal amplitude method can reduce the interaction. in addition high - order coupled equations governing the evolution of two orthogonal polarization components of the same wave are derived by using multi - dimension derivation expansion method of singular perturbation theory and the dispersion relation. furthermore, a class of optical solitary wave solutions, such as the bright - bright, dark - dark, bright - dark, and combined solitary waves are found under certain parametric conditions

    數值研究了源啁啾飛秒孤子間相互作用，提出了抑制該作用的可能方案；用奇異攝動多重尺度導數展開法和色散關系推導了耦合高階非線性薛定諤方程（ chnlse ） ，並用行波變換法得到了一系列孤波解析解，分析了它們在光纖中傳輸的必要條件，也討論了它們的穩定性，為實現飛秒光脈沖在光纖中的無畸變傳輸作理論上的探索。
  11. Differential quadrature domain decomposition method for a kind of nonlinear singular perturbation problems

    非線性奇異攝動問題的微分求積區域分裂法
  12. In this paper, these two methods are employed to consider three kinds of singular perturbation boundary value problems. in the first section, the existence of solution for a class of non - linear systems with three - point boundary problem is obtained by applying the differential inequality theory. in the second section, we use the differential inequality theory to discuss the non - monotone interior layer solution for one kind of singularly perturbed quasilinear boundary value problems with a turning point. in the third section, the diagonalization method is applied to study the existence of solution for a class of vector differential systems with two - point or three - point boundary problems. meanwhile, the asymptotic estimate of the solution as well as its first - order derivative and its second - order derivative is obtained

    在第一部分中，我們應用微分不等式理論證明了一類非線性系統三點邊值問題解的存在性；在第二部分中，運用微分不等式理論研究了一類帶有轉向點的擬線性奇攝動邊值問題的非單調內層解；在第三部分中，利用對角化方法研究了一類向量二點或者三點邊值問題解的存在性，並獲得解及它的一、二階導數的漸近估計。
  13. In this paper, we mainly discuss the application of double set parameter finite element method to the following elliptic singular perturbation problem [ 1 ] : where ? is a real parameter such that0 < e < 1

    本文主要研究了雙參數有限元方法對橢圓奇異攝動問題的應用，其中是實數且0 1當從1趨向於0時，問題（ 1
  14. Based on the singular - value decomposition method, several schemes to readjust the singular value of design matrix are proponed through perturbation analysis, and a simulated example is studied for illustrating these schemes can overcome the ill effect when there exist ill conditioning among the columns of the design matrix. the problem of selecting the biased parameter is studied in every scheme

    通過對觀測方程進行擾動分析，基二奇異值分解技術，提出了若干種修正奇異值的方案，討論了奇異值修正方案中偏參數的選取問題，並且結合模擬算例對這些方案在克服設計陣的病態性影響方面的作用進行了研究。
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