本論文在金融系統的投資需求中增加價格指數的影響，進而產生新的金融系統，並運用各種方法分析及呈現金融系統的3D相圖及其投影圖，再將此系統以電路模擬軟體Multisim模擬實際電路，使我們了解金融系統，同時應用各種技術來討論金融系統的動力學行為。這些技術有相圖，Poincarѐ map，頻譜分析，分岐圖，Lyapunov指數圖。控制理論的部分，通過應用GYC部分區域穩定理論的後步同步，金融系統的最佳化控制同步完成。本論文的焦點，是利用DSP開發板模擬金融系統，並透過DSP開發板利用金融系統的混沌訊號對聲音進行加密，可在訊號傳輸的過程中增加安全性。

The finance chaotic system has important value for the stable economic growth. In this thesis, a new research is proposed by adding a change of rate of price exponent to a change of rate of investment demand. Multisim software is used to simulate and to analyze the resulted chaotic system circuit, studying its phase portraits, time histories, Poincare maps, power spectral, Lyapunov exponents, Lyapunov dimensions and bifurcation diagrams.
phase portrait results of the numerical simulation, circuit simulation and synchronization are discussed. Chaos synchronization schemes include the original chaos synchronization, the GYC synchronization, the BGYC synchronization and optimal synchronization. To design the optimal controller of the finance chaotic system, control a finance system to achieve the desired behavior.
The main goal of this research is to encrypt an audio using the signals of the finance chaotic system with a DSP board.

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