本文乃是在三維Rikitake渾沌系統為基礎的前提下，新增一個獨立方程式，變成一個新四維Rikitake渾沌系統，並利用幾種技術，包含相圖分析、平衡點分析、散度分析、頻譜分析、Lyapunov指數等分析方法，來幫助我們分析此一新系統的特性與運動行為。
　　在控制理論部分，我們分別FPGA板與電路模擬Multisim實現利用非線性控制、適應性控制、有限時間控制與適應性有限時間控制等四種控制方法，設計控制器運用於此渾沌系統，使主系統和從系統可以同步。最後，我們使用FPGA板實現整個實際電路，藉此前面的模擬結果做比對。

　　The new 4D autonomous chaotic system is presented in this thesis based on 3D Rikitake system to add a new function for becoming a new Rikitake system. And then we use several techniques that include phase portraits analysis, equilibrium point analysis, divergence computing analysis, power spectrum analysis and Lyapunov exponent ,etc. to help us analyzing the characters and the dynamical behaviors of the new chaotic system.
　　In control theory, we utilize nonlinear control, adaptive control, finite-time control and adaptive finite-time control to make a slave system be synchronized with the new Rikitake chaotic system. Finally, we respectively make a simulation of the real electronic circuit and chaos synchronization of numerical analysis by NI electronic circuit software Multisim and FPGA DE2-115 Board to realize the real circuit with FPGA board and then compare the consults with simulations we got in the above chapters.

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