混沌動態系統之研究

Abstract

混沌的極限集在動力系統中是最複雜的行為。而且我們無法以CE或者CM去表示它的狀態。實驗的模擬是觀察它的最簡單方法。因此，實驗的探討加速了有關混沌極限集的性質在理論文獻中出現。在本論文中，我們藉著實驗探討在動力系統中混沌極限集的行為。

The chaotic limit sets are the most complicated behavior of the dynamical system, and we can not use the CE or CM to present its state. The easiest way to observe it is in experimental simulations. So, the experimental studies accelerated the process of the properties about the chaotic limit sets emerged into the theoretical literature. In this thesis, we study the behavior of chaotic limit sets of dynamical system by the experiments.