奇異攝動理論 的英文怎麼說

中文拼音 [jīyìshèdònglǐlún]
奇異攝動理論 英文
singular perturbation theory
  • 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...
  • 異 : 形容詞1 （有分別; 不相同） different 2 （奇異; 特別） strange; unusual; extraordinary 3 （另外的;...
  • 攝 : Ⅰ動詞1 （吸取） absorb; assimilate2 （攝影） take a photograph of; shoot 3 [書面語] （保養） cons...
  • 理 : Ⅰ名詞1 （物質組織的條紋） texture; grain （in wood skin etc ） 2 （道理;事理） reason; logic; tru...
  • 論 : 論名詞（記錄孔子及其門徒的言行的「論語」） the analects of confucius
  • 奇異 : 1. （奇怪） queer; strange; bizarre; odd 2. （驚異） surprising; curious
  • 理論 : theory
  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. Theconvergence towards the weak solution is proved for one - dimensional space with initial and boundaryconditions by using some subtle techniques such as the estimate of spatial derivative, perturbationtheory and weak compactness

    通過使用對空間導數的估計、弱緊性和奇異攝動理論證明了有限元方法的收斂性。
  3. 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。
  4. Based on optimal control theory and singularly perturbed theory, a singularly perturbed midcourse guidance law that guarantees air - to - ground missiles to ascent quickly is proposed. this new guidance law is a composite control law consisting of three parts : optimal climbing control using variable weighting factor method, minimum energy cruising phase control and minimum energy switching phase control. moreover, a new control logic is designed in order to remove influence of climbing control on switching phase. simulation results of a certain type of air - to - ground missile are presents. it is shown that, with simple control algorithm and feasible onboard implementation, this law not only guarantees air - to - ground missiles to ascent quickly, but also satisfies the requirements of midcourse phases. the studies have important theoretical meaning and great value of engineering application

    為滿足實際作戰的要求，基於最優控制理論和奇異攝動方法，提出了一種可保證中遠程空地導彈快速爬升到最優高度的中制導律.它由變系數最優爬升控制，最小能量巡航控制和最小能量下滑控制組成.為了減小爬升段控制對下滑段的影響，提出了一種新的控制邏輯.最後針對某型空地導彈進行了模擬.結果表明，該中制導律較好地滿足了中遠程空地導彈在中制導段的要求.本文的研究結果具有較好地工程參考價值
  5. Abstract : based on optimal control theory and singularly perturbed theory, a singularly perturbed midcourse guidance law that guarantees air - to - ground missiles to ascent quickly is proposed. this new guidance law is a composite control law consisting of three parts : optimal climbing control using variable weighting factor method, minimum energy cruising phase control and minimum energy switching phase control. moreover, a new control logic is designed in order to remove influence of climbing control on switching phase. simulation results of a certain type of air - to - ground missile are presents. it is shown that, with simple control algorithm and feasible onboard implementation, this law not only guarantees air - to - ground missiles to ascent quickly, but also satisfies the requirements of midcourse phases. the studies have important theoretical meaning and great value of engineering application

    文摘:為滿足實際作戰的要求，基於最優控制理論和奇異攝動方法，提出了一種可保證中遠程空地導彈快速爬升到最優高度的中制導律.它由變系數最優爬升控制，最小能量巡航控制和最小能量下滑控制組成.為了減小爬升段控制對下滑段的影響，提出了一種新的控制邏輯.最後針對某型空地導彈進行了模擬.結果表明，該中制導律較好地滿足了中遠程空地導彈在中制導段的要求.本文的研究結果具有較好地工程參考價值
  6. 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。
  7. 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
  8. 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
  9. The flight state variables are separated into fast and slow variables in terms of perturbation theory

    根據奇異攝動理論將受控狀態變量分為快變量和慢變量，然後根據非線性動態逆理論分別對內環和外環進行設計。
  10. 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。
  11. On the other hand, quite a number of practical systems with numerous dimensions may have some fast variables taking on singular impulse characteristic, such as electric power system, control system of rolling mill assembly, biochemical process, nuclear reactor, control system of airplane and rocket, and chemical diffused reaction, etc. so, it is important to study the problem of robust control of singular system i n the domain of control theory

    一般這些不確定性並非不可度量的，通常能給出這些不確定性大小的某種約束，魯棒控制理論正是處理系統模型具有不確定性的有效方法。另一方面，在大多數維數很大的實際系統中，都有呈現奇異攝動特性的快變變量，如電力系統，冷軋機的工業控制系統，生物化學過程，核反應堆，飛機和火箭系統，以及化學擴散反應等。
  12. In this paper, the multi - scale technology is introduced to study the wave - motion equations with viscous or transverse inertia effects or both of them. burgers equation, k - dv equation and kdv - burgers equation are deduced respectively, and correspondingly the steady shock - wave solutions, solitary wave solutions and oscillation solitary wave or shock - wave solutions are obtained

    接著，又採用奇異攝動理論中的多尺度變換法分析並簡化了分別計入粘性、橫向慣性效應以及同時計入這兩種因素時的幾何非線性波的波動方程，分別得到了經典的burgers方程、 k - dv方程和kdv - burgers方程；並求出它們相應的穩態解分別為激波解、孤波解和振蕩孤波解或激波解。
  13. The growth and development of the research in the singular perturbation theory in the department of mathematics at east china normal university is reviewed, uncovering historical facts in this research area in china

    摘要回顧了「奇異攝動」理論研究在華東師范大學數學系的興起和發展，並反映了該研究在現代中國的歷史。
  14. 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。
  15. Methods according to the limearized theory and the weakly nonlinear theory, the perturbation method is used

    方法根據線性化理論與弱的非線性理論，運用奇異攝動的方法進行研究。
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