melnikov 中文意思是什麼
melnikov
解釋
梅爾尼科夫-
By use of the direct perturbation method, perturbed correction is construct and its boundedness conditions are established that contain the melnikov criterion for the onset of chaos
運用直接微擾法，我們給出了一級微擾方程的解析解及其有界性條件。 -
By using melnikov method, the melnikov function of homoclinic orbit or heteroclinic orbit is calculated and established
應用melnikov方法，計算並建立了同宿軌道或異宿軌道的melnikov函數。 -
Every result in the paper is presented through specific analytic expression, including the analytic expression of homoclinic orbit or heteroclinic orbit and its melnikov function, analytical expression of periodical track surrounding the center - type singular point within the homoclinic orbit or heteroclinic orbit and its melinkov function, the critical value when periodical m point appears, the critical value when smale horseshoes chaos appears, etc.
文中的各個結果均以具體的解析形式給出，其中包括同宿軌道或異宿軌道的解析表達式及其melnikov函數；同（異）宿軌道內圍繞中心型奇點的周期軌道的解析表達式及其melnikov函數；出現周期m點的臨界值；出現smale馬蹄混沌的臨界值等。 -
In the paper, series of definitions about chaotic dynamics system are summed up, several methods for judging whether a system is a chaotic one is discussed, property analyses of chaotic systems is studied and rudimentary characteristic of chaotic motion is generalized. two kinds of nonlinear systems are analyzed in this paper. melnikov function is used to study the vibration systems
根據混沌運動的特徵，本論文主要對兩類具有廣泛代表意義的典型非線性系統問題進行了討論，利用數值分析的方法對系統進行了分析，得出系統出現混沌的閥值；然後綜合運用相圖分析、直接觀察時間序列和李雅譜諾夫指數法對系統是否產生混沌運動進行了描述和刻畫。 -
The melnikov function of subharmonic orbits is calculated and established and the criterion of appearing periodical m point of poincare mapping is presented. 4
計算並建立了次諧周期軌道的melnikov函數，給出了poincare映射出現周期m點的判據。 -
Application of melnikov method in the study of chaotic motions of pipe conveying fluid
簡諧激勵下輸流管動態響應特性的實驗研究 -
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 （ -
Meanwhile, we analyze the procession of the route from the periodic motion to chaos motion of cable via period - doubling bifurcation. in chapter 5, the chaotic motion of cable is studied by utilizing melnikov method and simulates the chaotic motion digitally
在第五章中，針對第四章得到的結論，用melnikov方法研究了斜拉索的混沌運動，並對斜拉索的混沌運動進行了數值模擬。 -
Theoretical analysis manifested that the boundedness condition contained the famous melnikov criteria of chaos
理論分析表明，解的有界性條件包含了melnikov函數為零的混沌判據。 -
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 -
One is the stochastic extended form of the high - dimension melnikov method which make it possible to choose proper noise excitation to extend the chaos window of a dynamical system
一是提出了一種高維隨機梅爾尼科夫推廣方法，這一方法使得我們順利利用合適的噪聲擴大系統混沌窗口成為可能。 -
In the fourth chapter, on the basis of the second and third chapter, using the melnikov function approach, we find the conditions for producing chaotic josephson effects and obtain the critertia for the chaos
在第二章和第三章的基礎上，第四章主要研究了阻尼條件下的正常和混沌的josephson效應。利用melnikov函數方法給出了混沌的參數區域。 -
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。 -
In the first part, an extended form of the stochastic melnikov method is presented and applied in analysis on the homoclinic bifurcation and chaotic behavior of a nonlinear hamiltonian system with weakly feed - back control and with both harmonic and gaussian white noisy excitations. numerical simulation is used to test the form and the results agree well with the theory, which proves the rationality of the form
第一部分，本文對梅爾尼科夫理論進行拓展，得到了一種高維梅爾尼科夫方法的隨機推廣形式，並將這種方法應用於帶慢變參數和弱反饋控制的非線性哈密頓系統在諧和和隨機激勵雙重作用下的同宿分叉和混沌運動的分析中，同時利用數值試驗進行了驗證。 -
For the reduced system, the mean square criterion of stochastic melnikov process is derived to give the critical values of the probable onset of chaos and the conclusion is that the critical value turns from increase to decrease as the amplitude of weiner process increases in the interested parameter range
然後重點討論了平均系統，經過推導得出相應的隨機melnikov過程，用均方值準則導出隨機系統可能產生混沌運動的臨界條件，由此得到了在一定的參數范圍內，隨著weiner過程強度參數值的增大，混沌的臨界激勵幅值先遞減繼而遞增。
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