研究生: |
吳政霖 Cheng-lin Wu |
---|---|
論文名稱: |
新四維度Lornez-Srenflo渾沌系統之渾沌動力分析、廣義同步及電路實現 Chaotic Dynamic Analysis, Generalized Chaos Synchronization and Circuit Imeplementation of New Four-Dimensions Lorenz-Stenflo Chaotic System |
指導教授: |
楊振雄
Cheng-Hsiung Yang |
口試委員: |
陳金聖
Chin-sheng Chen 郭永麟 Yong-lin Kuo |
學位類別: |
碩士 Master |
系所名稱: |
工程學院 - 自動化及控制研究所 Graduate Institute of Automation and Control |
論文出版年: | 2013 |
畢業學年度: | 101 |
語文別: | 中文 |
論文頁數: | 118 |
中文關鍵詞: | Lorenz-Stenflo 系統 、廣義渾沌同步 、T-S 模糊控制 、像素置亂 、影像加密 、熵值 |
外文關鍵詞: | Lorenz-Stenflo system, Generalized chaos synchronization, T-S fuzzy control, Pixel shuffle, Image encryption, Entropy |
相關次數: | 點閱:399 下載:0 |
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基於Lorenz系統,Stenflo通過使用低頻近似短波長研究大氣波動方程,衍生而出的Lorenz-Stenflo模型,在考慮此系統之各種物理特性下,嘗試變動原動態方程組,命名為新四維度Lorenz-Stenflo系統,進一步運用一些動力系統分析,如Lyapunov 指數、bifurcation、Poincare map、平衡點分析、散度分析、相圖等方式分析此新系統的各種特性以及運動方式圖形,再將此系統以電路模擬軟體Multisim模擬實際電路,來比較數值分析與電路模擬之相似度,也以製作實際電路為最終目的,繼而觀察此系統之運動特性。
設計同步控制器,使得從系統與主系統同步,研究控制器包含適應性同步控制、廣義同步、GYC同步控制以及T-S模糊同步控制,本論文也將應用渾沌系統於影像像素行列置亂加密,主要用於在訊號傳輸之過程中增加安全性,最後在探討圖像的熵值及相關係數。
Based on the Lorenz system, Stenflo used the short-wavelength to study atmospheric wave equation. The system is known better as the Lorenz-Stenflo system.
The thesis present the modified of the Lorenz-Stenflo system, call it New Four-Dimension Lorenz-Stenflo system which use some power system analysis ways, such as Lyapunov exponent, bifurcation, Poincare map, equilibrium analysis, divergence analysis, phase diagram. The main goal is to make the actual circuit in real to analysis the chaotic motion graphics, and the motion characteristics of the system compare with simulation by Multisim.
The design of Adaptive synchronous controller, generalized chaos synchronous controller, GYC synchronous controller and the T-S fuzzy synchronous controller use New Four-Dimension Lorenz-Stenflo system in order to synchronize the main system and slave system. This thesis also apply the New Four-Dimension Lorenz-Stenflo system on image pixels rank set encryption, which is used in the process of signal transmission and encryption on the image. In addition, the entropy encryption, scrambling degree and the correlation coefficient of the image are also analyzed.
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