perturbation method in or 中文意思是什麼

perturbation method in or 解釋
常微分方程攝動方法
  • 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】...
  • in : adv 1 朝里，向內，在內。 A coat with a furry side in有皮裡子的外衣。 Come in please 請進來。 The ...
  • or : or2,〈古、詩〉在…之前，比…更早〈普通用or ever, or e'er〉。n. 【徽章】黑金色，黑色。
  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. Secondly, the effectiveness and limitation of the classical perturbation, such as the method of multiple scales and the poincare - lindstedt method, are discussed in detail through a duffing oscillator with delayed velocity feedback. it is shown that the two perturbation methods are effective only in solving the approximate solution of the first two orders. an ambiguity or paradox will be encountered when they are used to seeking for the third or higher order approximation of solution

    其次，以一具有時滯速度反饋的duffing系統為例，研究了經典攝動法如多尺度法， poincar - lindstedt法等在求解時滯微分方程級數解時的適用性和局限性問題，指出利用這些方法只能有效求得系統的前兩階近似解，而在求系統的三次以上近似解時會出現矛盾或二義性。
  3. The cyclic estimation approaches of chirp signals in additive nose or multiplicative noise are proposed, it presents a way for the parameters estimation of zero mean amplitude chirp signals. the estimation performances in the additive noise or multiplicative noise are analyzed by the first order perturbation analysis method, and the error variance expressions of the parameters estimation under large samples are derived

    針對加性噪聲情況及存在乘性噪聲的情況，提出了線性調頻信號參數的循環平穩估計方法，解決了零均值乘性噪聲的信號參數估計問題，並採用一階擾動分析方法，對兩種噪聲情況下的估計性能進行了分析，推導出了各參數的估計誤差方差公式。
  4. 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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