singular perturbation theory 中文意思是什麼

singular perturbation theory 解釋
奇異攝動理論
  • 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
  • theory : n. 1. 理論，學理，原理。2. 學說，論說 （opp. hypothesis）。3. 推測，揣度。4. 〈口語〉見解，意見。
  1. 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。
  2. 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 （
  3. 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
  4. 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
  5. 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。
  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. By virtue of the stochastic bifurcation theory, the transition of the atom movement at a crack tip in fatigue damage system is investigated. using the singular point theory of one - dimensional diffusion process and the stochastic averaging approach of energy envelope, a micro - model to describe the atom movement at the crack tip in homoclinic bifurcation fatigue damage system, which is in the presence of stochastic perturbation, is established. after the study on the characteristic of the diffusion exponent, the drift exponent and the character exponent of the fatigue damage diffusion process on singular boundary, the bifurcation behavior of a homoclinic bifurcation fatigue damage system, which is in the presence of parametric white noise, is examined

    採用隨機分叉理論，探討疲勞損傷系統裂尖粒子運動性質突變.利用一維擴散過程的奇點理論，並結合能量包絡的隨機平均法，建立了隨機擾動的疲勞損傷同宿分叉系統裂尖粒子運動模型，通過研究奇異邊界的擴散指數、漂移指數以及特徵指數特性，考查疲勞損傷裂尖粒子運動的同宿分叉系統受參激白噪聲影響的分叉行為
  8. Geometric singular perturbation theory for ordinary differential equations with multifrequency

    多頻常微分方程的幾何奇異擾動理論
  9. More specifically, we combine geometric singular perturbation theory with melnikov analysis and integrable theory to prove the persistence of homoclinic orbits

    ） dinger方程同宿軌道的存在性，其基本思想方法是基於整體可積理論、 melnikov方法和奇異擾動理論的綜合運用
  10. We adopt a three mode fourier truncation and get a six dimensional model. this model is considered and the persistence of the homoclinic orbits is obtained by melnikov ' s analysis together with the geometrical singular perturbation theory

    ） dinger （ dnls ）方程，通過採用三模fourier截斷，我們得到一個六維模型，利用melnikov分析和幾何奇異擾動理論證明了這個六維模型同宿軌道的保持性。
  11. 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。
  12. 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。
  13. 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。
  14. 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。
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