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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