強范德波振子的諧波與修正算法
Harmonic wave and correction algorithm for forced Van der Pol oscillator
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 22_Publication in policy or professional journal
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | Chinese (Traditional) |
|---|---|
| Pages (from-to) | 4 - 7 |
| Journal / Publication | 大學物理 |
| Volume | 28 |
| Publication status | Published - 2009 |
Link(s)
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(45e5de10-40af-4614-8f15-984d64a956a3).html |
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Abstract
引入諧波平衡近似解的符號運算與同倫延拓法，獲得了強Van der Pol振子的解析近似極限環與穩定響應．為提高其近似精度，給出了諧波解的修正算法，並與數值模擬比較．結果表明，該算法非常精確可靠，是研究強非線性動力學系統的有效分析方法．
The sign algorithm of the harmonic balance approximate solutions and homotopy continuation method are introduced to get the analytic limit cycle and steady state response of the forced Van der Pol oscillator.In order to enhance precision,a correction algorithm is proposed.The approximate solution presented here is compared with numerical simulation.It is shown that the algorithm is very accurate,reliable and also an effective way of analyzing strong nonlinear systems.
