在本論文中，研究具有三個正Lyapunov指數之新Cai超渾沌系統的動力分析、渾沌控制與渾沌同步。我們使用的技術包括相圖，發散計算，功率譜分析，分岔圖和Lyapunov指數圖來分析並了解新的渾沌系統的動力學行為。在控制部份，我們加入三種方法並使用FPGA實現電路。在同步部分，我們採用滑模控制理論。

In this thesis, a new Cai hyper chaotic system with three positive Lyapunov exponents study dynamic analysis, chaos control and chaos synchronization. We use techniques include phase portraits, divergence computing, power spectrum analysis, bifurcation diagrams and Lyapunov exponent diagrams to analysis and understanding of the dynamical behaviors of the chaotic system. In the control part, we studied three kinds of case for chaos control and its FPGA circuit implementation. In the synchronization part, we using sliding mode control theory in chaos synchronization.

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