Analyzing Nonlinear Dynamics by the Hilbert-Huang Transform

• Main Authors: Tzu-TingChien, 簡子婷
• Other Authors: Ming-Dar Wei
• Format: Others
• Language: zh-TW
• Published: 2014
• Online Access: http://ndltd.ncl.edu.tw/handle/34466988249681016380

碩士 === 國立成功大學 === 光電科學與工程學系 === 102 === In this thesis, we study the nonlinear dynamics by the Hilbert-Huang Transform (HHT).The main researches including the Lorenz attractor and the laser system with pump modulation. Analyzing the Lorenz system by HHT, the result reveals a regular ratio distribution for the fundamental frequency of 1/2, 1/4, and so on. Using HHT to investigate the pump modulated laser output; the ratio relationship of frequency is 1/5, 1/10, 1/20, etc. It shows that the difference of ratio will appear in separate system. Furthermore, HHT can become a tool to distinguish the threshold of chaotic signal due to the trend of frequency in each intrinsic mode function is similar with the Lyapunov exponent analysis.