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同倫擾動法對於范德波爾方程的研究 / Homotopy Perturbation Method for Van Der Pol Equation

在這篇論文中,我們探討了在任何正參數之下,范德波爾方程的極限環結果。藉由改良後的同倫擾動方法,我們求得了一些極限環的近似結果。
相對於傳統的擾動方法,這種同倫方法在方程中並不受限於小的參數。除此之外,我們也設計了一個演算法來計算極限環的近似振幅及頻率。 / In this thesis, we study the limit cycle of van der Pol equation for parameter ε>0. We give some approximate results to the limit cycle by using the modified homotopy perturbation technique. In constract to the traditional perturbation methods, this homotopy method does not require a small parameter in the equation. Besides, we also devise a new algorithm to find the approximate amplitude and frequency of the limit cycle.

Identiferoai:union.ndltd.org:CHENGCHI/G0907510012
Creators劉凱元, Liu, Kai-yuan
Publisher國立政治大學
Source SetsNational Chengchi University Libraries
Language英文
Detected LanguageEnglish
Typetext
RightsCopyright © nccu library on behalf of the copyright holders

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