藉部分區域穩定理論之坤-震八卦多重交織導數同步

Abstract

廣義同步是存在著主人與僕人狀態之間的一個函數關係。一個新型的渾沌同步，藉由部分區域穩定理論之多重交織導數同步，得到與原系統狀態變量和其他不同系統構成的“夥伴”關係。利用數值模擬來驗證部分區域穩定理論之多重交織導數同步的有效性。 在中國哲學中，陰代表是負或陰柔，而陽是代表正或陽剛。陰跟陽在中國哲學中兩個是互相對立的，然而太極結合陰陽，這可能意味著宇宙的起源。八卦是中國哲學的一部分，他們擁有各自的方位、數字、以及代表性。作為例証，本論文主要研究坤卦與震卦，結合了在上面的坤卦與在下面震卦得到六十四卦的坤-震卦。坤-震卦代表不同的混沌系統，並藉由部分區域穩定理論達成多重交織導數同步。

The generalized synchronization is that there exists a functional relationship between the states of the master and those of the slave. A new type of chaotic synchronization, multiple chaotic symplectic derivative synchronization, is obtained with the state variables of the original system and of another different order system as constituents of the functional relation of “partners”. Numerical simulations are provided to verify the effectiveness of the proposed scheme. In Chinese philosophy, Yin means negative, historical, or feminine principle while Yang is positive, contemporary, or masculine principle. Yin and Yang are two fundamental opposites in Chinese philosophy, and “Tai Ji”, the great one, is the combination of Yin and Yang, which maybe the origin of Cosmos. The eight trigrams is a part of Chinese philosophy, and they have their own direction, figure, and representation. In this thesis,as examples,Kun trigram and Zhen trigram are studied. Combining Kun trigram in upper place and Zhen trigram in lower place can get Kun-Zhen hexagram. Kun-Zhen hexagram can be annotated by chaos and its synchronization.