singular perturbation 中文意思是什麼

singular perturbation 解釋
奇攝動
  • 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
  1. Its biquadratic finite element approximation is considered and under the appropriately graded meshes, quasi - optimal order error estimates in the - weighted h ^ 1 - norm, up to a logarithmic factor in the singular perturbation parameter, are proved

    然後，考慮此方程在分層網格剖分上的雙二次有限元逼近，在-加權h ^ 1 -模意義下得到了至多相差一個關于攝動參數對數因子的擬最優階收斂的誤差估計。
  2. 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。
  3. 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
  4. The boundary value problems of singular perturbation with boundary layer at turning points are discussed. the asmptotic expansion are constructed. and the uniformly valid asmptolic estimation is obtained

    主要討論了在轉點處出現邊界層現象的奇異攝動邊值問題，構造了形式級數解，得到了一致有效的漸近估計
  5. 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。
  6. A finite element solving the elliptic fourth order singular perturbation problem need to be a convergent plate element and to be convergent, uniformly with respect to the parameter e

    數值結果表明此元有較好的收斂性。求解四階橢圓奇異攝動問題的有限元應是收斂的板元，並且要關于（
  7. The author built the dynamics model of its constrained motion with frictional contact, and its moving stability is analyzed by singular perturbation theory

    提出了管道內受限微機器人運動的動力學模型，並根據這一模型利用奇異攝動理論對微管道機器人管內運動穩定性進行了研究。
  8. 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。
  9. First, we take the analysis of phase - plane on the invariant plane for the perturbed and unperturbed systems. next, we applied the singular perturbation theory to establish the persistence of invariant manifolds, as well as the " fiber represent at iones " of these manifolds. finally, by using the global integrable theory of the unperturbed system and melnikov measurement we obtai n the existence of homoclinic orbits for the cqs equation under the generalized parameters conditions

    首先，我們在常值平面上對擾動和未擾動系統進行相平面分析；然後利用奇異擾動理論討論不變流形的保持性，並給出不變流形的纖維表示；藉助于未擾動系統的可積結構和melnikov測度，我們得到了三次?五次非線性schr （
  10. But now, as a result of chinese government ' s continuously supporting of scientific researches, and outstanding mathematicians such as ni ming - kang have returned from abroad, the research of singular perturbation is becoming active again at our university and in china

    到了21世紀，隨著國家大力實施科技興國，倪明康在俄羅斯苦學12年回國成為新一代的學術帶頭人，奇異攝動理論研究在我校和我國開始了復興之路。
  11. In the control scheme using neural network, the control of flexible manipulator is separated into angle - following control of slow subsystem and vibration - suppressing control of fast subsystem based on singular perturbation and time decomposition. moreover, the paper discusses the structure and the algorithm of neural network plus fuzzy pd control of tip vibration. finally the performance of designed methods is validated by simulation

    對于神經網路控制，首先根據奇異攝動和兩時標分解，將柔性連桿機械臂的控制分解成等效剛性臂慢子系統的角跟隨運動控制和快子系統的消振控制，論文給出了神經網路+末端振動模糊pd控制的結構和計演算法，並通過實驗研究驗證了提出設計方法的性能。
  12. 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
  13. The singular perturbation solution for a class differential equations with turning points

    具有轉向點的一類微分方程的奇異攝動解
  14. A singular perturbation theory for the study of newtonian dynamical behaviour of kink

    扭結孤子牛頓動力學行為的奇異攝動理論
  15. 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
  16. Considering these problems, a control strategy, which does not need additional sensors and takes on robust perfornance for time - invariable elastic modulus, is applied using singular perturbation theory

    針對這些問題，利用奇異攝動理論，提出了一種不需要附加傳感器，並對時變彈性模量具有魯棒性的控制策略。
  17. 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。
  18. Singular perturbation bounds for a class of linear systems with time - delay

    一類線性不確定時滯系統奇異攝動界
  19. Robust adaptive control for nonlinear systems with singular perturbation

    奇異攝動非線性系統的魯棒自適應控制
  20. 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
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