Kan-Li Hexagram Multiple Symplectic Derivative Synchronization by Partial Region Stability Theory

• Main Authors: Jhang, Dingshun, 張登順
• Other Authors: Ge, Zhengming
• Format: Others
• Language: en_US
• Published: 2012
• Online Access: http://ndltd.ncl.edu.tw/handle/76887242977897768068

碩士 === 國立交通大學 === 機械工程學系 === 100 === “Tai Ji”, the great one, is the combination of Yin and Yang, and Tai Ji chaotic system is the combination of “Yang” chaotic system and “Yin” chaotic system. Yang system represents contemporary system, and Yin system means historical system. The eight trigrams, a part of Chinese philosophy, is advance of “Tai Ji”, and they have their own directions, figures, and representations. Trigram synchronization uses three different chaos systems by the figures, and multiple symplectic derivative synchronization is used. Hexagram, advance of the eight trigrams, has two parts, upper and low, which both represent a trigram, and the hexagram synchronization is advance of trigram synchronization. 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 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 scheme.