weakly nonlinear theory 中文意思是什麼
weakly nonlinear theory
解釋
弱非線性理論-
First, we concisely recall the formation and development of bose - einstein condensa - tion ' s theory and it ' s experimentation. secondly, we briefly intro - duce some properties of weakly interactive bose gases, and derive the nonlinear gross - pitaevskii equation that is the condensate macroscopic wave function ' s equation. thirdly, we give a exam - pie, an approximation analytical solution of the gross - pitaevskii equation in a spherical symmetric harmonic trap is derived by a perturbation theory approach, this solution is consistent with that numerically obtained
全文共分為四章：第一章首先簡要的介紹和回顧了玻色-愛因斯坦凝聚理論的產生和發展，以及其實驗研究的過程，然後著重介紹了弱相互作用的玻色氣體的一些性質，並推導出了凝聚體宏觀波函數滿足非線性的gp方程，還以球對稱的諧振子勢為例，用標準的微擾方法求出了定態的gp方程近似解，發現其與已知的數值結果符合得很好。 -
Based on the theory of passive system, we studied the essential conditions, by which chaotic dynamical system was equivalent to passive system. through theoretic proving, we found that using state feedback could make the passive system stable. based on passive equivalence theory, we proved that weakly minimum phase nonlinear system and minimum phase nonlinear system transformed by chaotic system having relative degree 1 could be globally asymptotically stabilized by smooth state feedback
介紹了無源系統的基本性質及其意義，利用無源性網路理論，分析並推導了一般的混飩動力學系統等效為無源系統所必需的基本條件，從理論上證明了無源系統的可控性? ?利用簡單的狀態反饋即可實現無源系統的穩定控制，從而實現了將最小相位混飩系統及弱最小相位混」飩系統等效為無源系統，即構造混飩系統的控制器，將混飩系統配置為無源系統，實現混飩系統的穩定性控制。 -
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。 -
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。
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